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23322322332 = 2233372233677
BaseRepresentation
bin10101101110000111…
…100110010110011100
32020012101001201201000
4111232013212112130
5340231003303312
614414130150300
71453643316561
oct255607462634
966171051630
1023322322332
11998892aa61
12462a722390
132278aa443a
1411b3632868
1591777cadc
hex56e1e659c

23322322332 has 144 divisors (see below), whose sum is σ = 62502541920. Its totient is φ = 7520408064.

The previous prime is 23322322277. The next prime is 23322322343.

23322322332 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 2 + 322 + 332 = 666.

23322322332 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23322322296 and 23322322305.

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 47 ways as a sum of consecutive naturals, for example, 34449178 + ... + 34449854.

It is an arithmetic number, because the mean of its divisors is an integer number (434045430).

Almost surely, 223322322332 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 23322322332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31251270960).

23322322332 is an abundant number, since it is smaller than the sum of its proper divisors (39180219588).

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

23322322332 is a wasteful number, since it uses less digits than its factorization.

23322322332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 952 counting only the distinct ones).

The product of its digits is 15552, while the sum is 27.

The spelling of 23322322332 in words is "twenty-three billion, three hundred twenty-two million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 233 333 444 466 666 677 699 932 999 1332 1354 1369 1398 1998 2031 2097 2708 2738 2796 3996 4062 4107 4194 5476 6093 6291 8124 8214 8388 8621 12186 12321 12582 16428 17242 18279 24372 24642 25049 25164 25863 34484 36558 36963 49284 50098 51726 73116 73926 75147 77589 100196 103452 147852 150294 155178 157741 225441 232767 300588 310356 315482 318977 450882 465534 473223 630964 637954 676323 901764 926813 931068 946446 956931 1275908 1352646 1419669 1853626 1892892 1913862 2705292 2780439 2839338 2870793 3707252 3827724 4259007 5560878 5678676 5741586 5836417 8341317 8518014 8612379 11121756 11483172 11672834 16682634 17036028 17224758 17509251 23345668 25023951 33365268 34449516 35018502 50047902 52527753 70037004 100095804 105055506 157583259 210111012 215947429 315166518 431894858 630333036 647842287 863789716 1295684574 1943526861 2591369148 3887053722 5830580583 7774107444 11661161166 23322322332