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23223088032232 = 23111729575249731
BaseRepresentation
bin1010100011111000010111…
…11010011010100111101000
310001020002211221020000201011
411101330023322122213220
511020441341014012412
6121220312300233304
74614545525201224
oct521741372324750
9101202757200634
1023223088032232
117443946851290
12273095923b834
13cc5c0a50532a
145a40096bb784
152a414494c7a7
hex151f0be9a9e8

23223088032232 has 64 divisors (see below), whose sum is σ = 50313011509440. Its totient is φ = 9931649203200.

The previous prime is 23223088032191. The next prime is 23223088032259.

It is a happy number.

23223088032232 is nontrivially palindromic in base 10.

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, 1798807 + ... + 7048537.

It is an arithmetic number, because the mean of its divisors is an integer number (786140804835).

Almost surely, 223223088032232 is an apocalyptic number.

23223088032232 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 23223088032232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25156505754720).

23223088032232 is an abundant number, since it is smaller than the sum of its proper divisors (27089923477208).

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

23223088032232 is a wasteful number, since it uses less digits than its factorization.

23223088032232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252722 (or 5252718 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 23223088032232 in words is "twenty-three trillion, two hundred twenty-three billion, eighty-eight million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 2957 5914 11828 23656 32527 50269 65054 100538 130108 201076 260216 402152 552959 1105918 2211836 4423672 5249731 10499462 20998924 41997848 57747041 89245427 115494082 178490854 230988164 356981708 461976328 713963416 981699697 1963399394 3926798788 7853597576 15523454567 31046909134 62093818268 124187636536 170758000237 263898727639 341516000474 527797455278 683032000948 1055594910556 1366064001896 2111189821112 2902886004029 5805772008058 11611544016116 23223088032232