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23221612232 = 23713475911503
BaseRepresentation
bin10101101000000111…
…011010111011001000
32012221100120010102022
4111220013122323020
5340024213042412
614400131424012
71451311306250
oct255007327310
965840503368
1023221612232
119936aa3a75
124600a55008
132260c72670
1411a40d8960
1590d9d7a72
hex5681daec8

23221612232 has 128 divisors (see below), whose sum is σ = 55660953600. Its totient is φ = 8837952768.

The previous prime is 23221612189. The next prime is 23221612241.

23221612232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 31 ways as a sum of consecutive naturals, for example, 2012993 + ... + 2024495.

It is an arithmetic number, because the mean of its divisors is an integer number (434851200).

Almost surely, 223221612232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23221612232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27830476800).

23221612232 is an abundant number, since it is smaller than the sum of its proper divisors (32439341368).

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

23221612232 is a wasteful number, since it uses less digits than its factorization.

23221612232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11635 (or 11631 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The spelling of 23221612232 in words is "twenty-three billion, two hundred twenty-one million, six hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 47 52 56 59 91 94 104 118 182 188 236 329 364 376 413 472 611 658 728 767 826 1222 1316 1534 1652 2444 2632 2773 3068 3304 4277 4888 5369 5546 6136 8554 10738 11092 11503 17108 19411 21476 22184 23006 34216 36049 38822 42952 46012 72098 77644 80521 92024 144196 149539 155288 161042 252343 288392 299078 322084 504686 540641 598156 644168 678677 1009372 1046773 1081282 1196312 1357354 2018744 2093546 2162564 2714708 3784487 4187092 4325128 4750739 5429416 7028333 7568974 8374184 8822801 9501478 14056666 15137948 17645602 19002956 28113332 30275896 31897819 35291204 38005912 49198331 56226664 61759607 63795638 70582408 98396662 123519214 127591276 196793324 223284733 247038428 255182552 393586648 414671647 446569466 494076856 829343294 893138932 1658686588 1786277864 2902701529 3317373176 5805403058 11610806116 23221612232