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23033233120 = 2553117925943
BaseRepresentation
bin10101011100111000…
…110011111011100000
32012110020002110212011
4111130320303323200
5334133001424440
614325322042304
71443533152102
oct253470637340
965406073764
1023033233120
11984a728a57
124569949394
132230c26931
14118709d572
158ec1c69ea
hex55ce33ee0

23033233120 has 96 divisors (see below), whose sum is σ = 56487352320. Its totient is φ = 8865937920.

The previous prime is 23033233103. The next prime is 23033233159. The reversal of 23033233120 is 2133233032.

It is a junction number, because it is equal to n+sod(n) for n = 23033233091 and 23033233100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874869 + ... + 900811.

It is an arithmetic number, because the mean of its divisors is an integer number (588409920).

Almost surely, 223033233120 is an apocalyptic number.

23033233120 is a gapful number since it is divisible by the number (20) 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 23033233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28243676160).

23033233120 is an abundant number, since it is smaller than the sum of its proper divisors (33454119200).

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

23033233120 is a wasteful number, since it uses less digits than its factorization.

23033233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26168 (or 26160 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 23033233120 its reverse (2133233032), we get a palindrome (25166466152).

The spelling of 23033233120 in words is "twenty-three billion, thirty-three million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 179 248 310 358 496 620 716 895 992 1240 1432 1790 2480 2864 3580 4960 5549 5728 7160 11098 14320 22196 25943 27745 28640 44392 51886 55490 88784 103772 110980 129715 177568 207544 221960 259430 415088 443920 518860 804233 830176 887840 1037720 1608466 2075440 3216932 4021165 4150880 4643797 6433864 8042330 9287594 12867728 16084660 18575188 23218985 25735456 32169320 37150376 46437970 64338640 74300752 92875940 128677280 143957707 148601504 185751880 287915414 371503760 575830828 719788535 743007520 1151661656 1439577070 2303323312 2879154140 4606646624 5758308280 11516616560 23033233120