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23222222222232 = 23311175174291939
BaseRepresentation
bin1010100011110110110000…
…10011100111001110011000
310001020000121121001022200010
411101323120103213032120
511020433102342102412
6121220050331041520
74614515213011635
oct521733023471630
9101200547038603
1023222222222232
117443542051430
1227307572a02a0
13cc5b0001cb17
145a3d6670118c
152a40e392633c
hex151ed84e7398

23222222222232 has 64 divisors (see below), whose sum is σ = 67058823542400. Its totient is φ = 6623093680640.

The previous prime is 23222222222201. The next prime is 23222222222261.

23222222222232 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23222222222232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2587141482 + ... + 2587150457.

It is an arithmetic number, because the mean of its divisors is an integer number (1047794117850).

Almost surely, 223222222222232 is an apocalyptic number.

23222222222232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23222222222232 is an abundant number, since it is smaller than the sum of its proper divisors (43836601320168).

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

23222222222232 is a wasteful number, since it uses less digits than its factorization.

23222222222232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5174291976 (or 5174291972 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

It can be divided in two parts, 2322222 and 2222232, that added together give a palindrome (4544454).

The spelling of 23222222222232 in words is "twenty-three trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 5174291939 10348583878 15522875817 20697167756 31045751634 41394335512 56917211329 62091503268 87962962963 113834422658 124183006536 170751633987 175925925926 227668845316 263888888889 341503267974 351851851852 455337690632 527777777778 683006535948 703703703704 967592592593 1055555555556 1366013071896 1935185185186 2111111111112 2902777777779 3870370370372 5805555555558 7740740740744 11611111111116 23222222222232