Search a number
-
+
1922394228048 = 243371021622637
BaseRepresentation
bin11011111110010111101…
…000000000010101010000
320210210000221220011102000
4123332113220000111100
5222444030410244143
64031045151554000
7255613502220120
oct33762750002520
96723027804360
101922394228048
11681312474778
122706a5b2b900
1310c386476c58
1469089ab0c80
1535014ce4bd3
hex1bf97a00550

1922394228048 has 160 divisors (see below), whose sum is σ = 6312453477120. Its totient is φ = 548716654080.

The previous prime is 1922394228037. The next prime is 1922394228071. The reversal of 1922394228048 is 8408224932291.

1922394228048 is a `hidden beast` number, since 1 + 9 + 22 + 394 + 228 + 0 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1922394227985 and 1922394228003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2776186 + ... + 3398822.

It is an arithmetic number, because the mean of its divisors is an integer number (39452834232).

Almost surely, 21922394228048 is an apocalyptic number.

1922394228048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1922394228048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156226738560).

1922394228048 is an abundant number, since it is smaller than the sum of its proper divisors (4390059249072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1922394228048 is a wasteful number, since it uses less digits than its factorization.

1922394228048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623682 (or 623670 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1922394228048 in words is "one trillion, nine hundred twenty-two billion, three hundred ninety-four million, two hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1021 1512 2042 3024 3063 4084 6126 7147 8168 9189 12252 14294 16336 18378 21441 24504 27567 28588 36756 42882 49008 55134 57176 64323 73512 85764 110268 114352 128646 147024 171528 192969 220536 257292 343056 385938 441072 514584 622637 771876 1029168 1245274 1543752 1867911 2490548 3087504 3735822 4358459 4981096 5603733 7471644 8716918 9962192 11207466 13075377 14943288 16811199 17433836 22414932 26150754 29886576 33622398 34867672 39226131 44829864 52301508 67244796 69735344 78452262 89659728 104603016 117678393 134489592 156904524 209206032 235356786 268979184 313809048 470713572 627618096 635712377 941427144 1271424754 1882854288 1907137131 2542849508 3814274262 4449986639 5085699016 5721411393 7628548524 8899973278 10171398032 11442822786 13349959917 15257097048 17164234179 17799946556 22885645572 26699919834 30514194096 34328468358 35599893112 40049879751 45771291144 53399839668 68656936716 71199786224 80099759502 91542582288 106799679336 120149639253 137313873432 160199519004 213599358672 240299278506 274627746864 320399038008 480598557012 640798076016 961197114024 1922394228048