Search a number
-
+
20022230320 = 245378976003
BaseRepresentation
bin10010101001011010…
…101111110100110000
31220200101100200111221
4102221122233310300
5312001142332240
613110441514424
71306112102221
oct225132576460
956611320457
1020022230320
118545032a94
123a694a2a14
131b7118c281
14d7d231248
157c2baca4a
hex4a96afd30

20022230320 has 80 divisors (see below), whose sum is σ = 48347664480. Its totient is φ = 7704778752.

The previous prime is 20022230311. The next prime is 20022230387. The reversal of 20022230320 is 2303222002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20022230294 and 20022230303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225439 + ... + 301441.

It is an arithmetic number, because the mean of its divisors is an integer number (604345806).

Almost surely, 220022230320 is an apocalyptic number.

20022230320 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 20022230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24173832240).

20022230320 is an abundant number, since it is smaller than the sum of its proper divisors (28325434160).

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

20022230320 is a wasteful number, since it uses less digits than its factorization.

20022230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76142 (or 76136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 20022230320 its reverse (2303222002), we get a palindrome (22325452322).

It can be divided in two parts, 2002 and 2230320, that added together give a palindrome (2232322).

The spelling of 20022230320 in words is "twenty billion, twenty-two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 89 148 178 185 296 356 370 445 592 712 740 890 1424 1480 1780 2960 3293 3560 6586 7120 13172 16465 26344 32930 52688 65860 76003 131720 152006 263440 304012 380015 608024 760030 1216048 1520060 2812111 3040120 5624222 6080240 6764267 11248444 13528534 14060555 22496888 27057068 28121110 33821335 44993776 54114136 56242220 67642670 108228272 112484440 135285340 224968880 250277879 270570680 500555758 541141360 1001111516 1251389395 2002223032 2502778790 4004446064 5005557580 10011115160 20022230320