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23212222221232 = 2411433191961189
BaseRepresentation
bin1010100011100100001000…
…10000101000101110110000
310001012001210200021122011201
411101302010100220232300
511020302112342034412
6121211314144220544
74614012335264032
oct521620420505660
9101161720248151
1023212222221232
11743a2803366a0
12272a82630a754
13cc4b98332075
145a369857bc52
152a3c0aa67e57
hex151c84428bb0

23212222221232 has 80 divisors (see below), whose sum is σ = 50218963280640. Its totient is φ = 10302397459200.

The previous prime is 23212222221229. The next prime is 23212222221263.

23212222221232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 23212222221232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23668894 + ... + 24630082.

It is an arithmetic number, because the mean of its divisors is an integer number (627737041008).

Almost surely, 223212222221232 is an apocalyptic number.

23212222221232 is a gapful number since it is divisible by the number (22) 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 23212222221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25109481640320).

23212222221232 is an abundant number, since it is smaller than the sum of its proper divisors (27006741059408).

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

23212222221232 is a wasteful number, since it uses less digits than its factorization.

23212222221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964442 (or 964436 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 2321222 and 2221232, that added together give a palindrome (4542454).

The spelling of 23212222221232 in words is "twenty-three trillion, two hundred twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 3191 3784 6382 7568 12764 25528 35101 51056 70202 137213 140404 274426 280808 548852 561616 961189 1097704 1509343 1922378 2195408 3018686 3844756 6037372 7689512 10573079 12074744 15379024 21146158 24149488 41331127 42292316 82662254 84584632 165324508 169169264 330649016 454642397 661298032 909284794 1818569588 3067154099 3637139176 6134308198 7274278352 12268616396 24537232792 33738695089 49074465584 67477390178 131887626257 134954780356 263775252514 269909560712 527550505028 539819121424 1055101010056 1450763888827 2110202020112 2901527777654 5803055555308 11606111110616 23212222221232