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23234611136 = 2611167229863
BaseRepresentation
bin10101101000111001…
…000000011111000000
32012222021000112120012
4111220321000133000
5340041030024021
614401314204052
71451526636032
oct255071003700
965867015505
1023234611136
119943372270
124605283628
132263874219
1411a5b1dc52
1590ec0435b
hex568e407c0

23234611136 has 112 divisors (see below), whose sum is σ = 50878679040. Its totient is φ = 10439992320.

The previous prime is 23234611121. The next prime is 23234611139. The reversal of 23234611136 is 63111643232.

It is a super-2 number, since 2×232346111362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23234611139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26922641 + ... + 26923503.

It is an arithmetic number, because the mean of its divisors is an integer number (454273920).

Almost surely, 223234611136 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 23234611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25439339520).

23234611136 is an abundant number, since it is smaller than the sum of its proper divisors (27644067904).

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

23234611136 is a wasteful number, since it uses less digits than its factorization.

23234611136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1272 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The spelling of 23234611136 in words is "twenty-three billion, two hundred thirty-four million, six hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 167 176 229 334 352 458 668 704 863 916 1336 1726 1832 1837 2519 2672 3452 3664 3674 5038 5344 6904 7328 7348 9493 10076 10688 13808 14656 14696 18986 20152 27616 29392 37972 38243 40304 55232 58784 75944 76486 80608 117568 144121 151888 152972 161216 197627 288242 303776 305944 395254 420673 576484 607552 611888 790508 841346 1152968 1223776 1581016 1585331 1682692 2173897 2305936 2447552 3162032 3170662 3365384 4347794 4611872 6324064 6341324 6730768 8695588 9223744 12648128 12682648 13461536 17391176 25365296 26923072 33003709 34782352 50730592 66007418 69564704 101461184 132014836 139129408 264029672 363040799 528059344 726081598 1056118688 1452163196 2112237376 2904326392 5808652784 11617305568 23234611136