Search a number
-
+
215445854040 = 233537131370411
BaseRepresentation
bin1100100010100110010…
…0101101011101011000
3202121002210101100221120
43020221210231131120
512012213114312130
6242550252205240
721364643354304
oct3105144553530
9677083340846
10215445854040
1183408627a2a
1235908469820
1317416342a91
14a5db604d04
15590e4a8910
hex322992d758

215445854040 has 128 divisors (see below), whose sum is σ = 668875173120. Its totient is φ = 55472601600.

The previous prime is 215445853981. The next prime is 215445854083. The reversal of 215445854040 is 40458544512.

It is a happy number.

215445854040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 215445853983 and 215445854001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396435 + ... + 766845.

It is an arithmetic number, because the mean of its divisors is an integer number (5225587290).

Almost surely, 2215445854040 is an apocalyptic number.

215445854040 is a gapful number since it is divisible by the number (20) 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 215445854040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334437586560).

215445854040 is an abundant number, since it is smaller than the sum of its proper divisors (453429319080).

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

215445854040 is a wasteful number, since it uses less digits than its factorization.

215445854040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370593 (or 370589 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 42.

The spelling of 215445854040 in words is "two hundred fifteen billion, four hundred forty-five million, eight hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 131 148 185 222 262 296 370 393 444 524 555 655 740 786 888 1048 1110 1310 1480 1572 1965 2220 2620 3144 3930 4440 4847 5240 7860 9694 14541 15720 19388 24235 29082 38776 48470 58164 72705 96940 116328 145410 193880 290820 370411 581640 740822 1111233 1481644 1852055 2222466 2963288 3704110 4444932 5556165 7408220 8889864 11112330 13705207 14816440 22224660 27410414 41115621 44449320 48523841 54820828 68526035 82231242 97047682 109641656 137052070 145571523 164462484 194095364 205578105 242619205 274104140 291143046 328924968 388190728 411156210 485238410 548208280 582286092 727857615 822312420 970476820 1164572184 1455715230 1644624840 1795382117 1940953640 2911430460 3590764234 5386146351 5822860920 7181528468 8976910585 10772292702 14363056936 17953821170 21544585404 26930731755 35907642340 43089170808 53861463510 71815284680 107722927020 215445854040