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20231233308 = 223211137155351
BaseRepresentation
bin10010110101111000…
…000001111100011100
31221012221122010201100
4102311320001330130
5312413143431213
613143305313100
71314230434326
oct226570017434
957187563640
1020231233308
118642005030
123b07495790
131ba5579390
14d9ccb8616
157d61e4773
hex4b5e01f1c

20231233308 has 144 divisors (see below), whose sum is σ = 60927939072. Its totient is φ = 5579280000.

The previous prime is 20231233301. The next prime is 20231233327. The reversal of 20231233308 is 80333213202.

20231233308 is a `hidden beast` number, since 202 + 3 + 123 + 330 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231233301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337833 + ... + 393183.

It is an arithmetic number, because the mean of its divisors is an integer number (423110688).

Almost surely, 220231233308 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 20231233308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30463969536).

20231233308 is an abundant number, since it is smaller than the sum of its proper divisors (40696705764).

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

20231233308 is a wasteful number, since it uses less digits than its factorization.

20231233308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55456 (or 55451 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 20231233308 in words is "twenty billion, two hundred thirty-one million, two hundred thirty-three thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 71 78 99 117 132 142 143 156 198 213 234 284 286 396 426 429 468 572 639 781 852 858 923 1278 1287 1562 1716 1846 2343 2556 2574 2769 3124 3692 4686 5148 5538 7029 8307 9372 10153 11076 14058 16614 20306 28116 30459 33228 40612 55351 60918 91377 110702 121836 166053 182754 221404 332106 365508 498159 608861 664212 719563 996318 1217722 1439126 1826583 1992636 2158689 2435444 2878252 3653166 3929921 4317378 5479749 6476067 7306332 7859842 7915193 8634756 10959498 11789763 12952134 15719684 15830386 21918996 23579526 23745579 25904268 31660772 35369289 43229131 47159052 47491158 51088973 70738578 71236737 86458262 94982316 102177946 129687393 141477156 142473474 153266919 172916524 204355892 259374786 284946948 306533838 389062179 459800757 518749572 561978703 613067676 778124358 919601514 1123957406 1556248716 1685936109 1839203028 2247914812 3371872218 5057808327 6743744436 10115616654 20231233308