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23220411402232 = 231113119447103577
BaseRepresentation
bin1010100011110011011000…
…10111111000011111111000
310001012211221101200010121201
411101321230113320133320
511020420400304332412
6121215150522543544
74614422304211222
oct521715427703770
9101184841603551
1023220411402232
1174427a2977580
122730330967bb4
13cc58a1b11bb5
145a3c3400d412
152a4039981e57
hex151e6c5f87f8

23220411402232 has 64 divisors (see below), whose sum is σ = 47861786269440. Its totient is φ = 10473522259200.

The previous prime is 23220411402217. The next prime is 23220411402301.

23220411402232 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 23220411402232.

It is a congruent number.

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, 224133228 + ... + 224236804.

It is an arithmetic number, because the mean of its divisors is an integer number (747840410460).

Almost surely, 223220411402232 is an apocalyptic number.

23220411402232 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 23220411402232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23930893134720).

23220411402232 is an abundant number, since it is smaller than the sum of its proper divisors (24641374867208).

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

23220411402232 is a wasteful number, since it uses less digits than its factorization.

23220411402232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123172 (or 123168 counting only the distinct ones).

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

It can be divided in two parts, 2322041 and 1402232, that added together give a palindrome (3724273).

The spelling of 23220411402232 in words is "twenty-three trillion, two hundred twenty billion, four hundred eleven million, four hundred two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 2882 5764 11528 19447 38894 77788 103577 155576 207154 213917 414308 427834 828616 855668 1139347 1711336 2278694 2547557 4557388 5095114 9114776 10190228 13568587 20380456 27137174 28023127 54274348 56046254 108548696 112092508 149254457 224185016 298508914 597017828 1194035656 2014261919 4028523838 8057047676 16114095352 22156881109 44313762218 88627524436 177255048872 263868311389 527736622778 1055473245556 2110946491112 2902551425279 5805102850558 11610205701116 23220411402232