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23332033120 = 2551125322739
BaseRepresentation
bin10101101110101100…
…101001001001100000
32020020001100002101211
4111232230221021200
5340241000024440
614415114235504
71454122003114
oct255654511140
966201302354
1023332033120
119993362900
124631a25b94
13227aac4476
1411b4a3d744
15918549eea
hex56eb29260

23332033120 has 144 divisors (see below), whose sum is σ = 61734461040. Its totient is φ = 8323927040.

The previous prime is 23332033009. The next prime is 23332033121. The reversal of 23332033120 is 2133023332.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 23332033091 and 23332033100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332033121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1014711 + ... + 1037449.

It is an arithmetic number, because the mean of its divisors is an integer number (428711535).

Almost surely, 223332033120 is an apocalyptic number.

23332033120 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 23332033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30867230520).

23332033120 is an abundant number, since it is smaller than the sum of its proper divisors (38402427920).

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

23332033120 is a wasteful number, since it uses less digits than its factorization.

23332033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22829 (or 22810 counting only the distinct ones).

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

Adding to 23332033120 its reverse (2133023332), we get a palindrome (25465056452).

The spelling of 23332033120 in words is "twenty-three billion, three hundred thirty-two million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 80 88 106 110 121 160 176 212 220 242 265 352 424 440 484 530 583 605 848 880 968 1060 1166 1210 1696 1760 1936 2120 2332 2420 2915 3872 4240 4664 4840 5830 6413 8480 9328 9680 11660 12826 18656 19360 22739 23320 25652 32065 45478 46640 51304 64130 90956 93280 102608 113695 128260 181912 205216 227390 250129 256520 363824 454780 500258 513040 727648 909560 1000516 1026080 1205167 1250645 1819120 2001032 2410334 2501290 2751419 3638240 4002064 4820668 5002580 5502838 6025835 8004128 9641336 10005160 11005676 12051670 13256837 13757095 19282672 20010320 22011352 24103340 26513674 27514190 38565344 40020640 44022704 48206680 53027348 55028380 66284185 88045408 96413360 106054696 110056760 132568370 145825207 192826720 212109392 220113520 265136740 291650414 424218784 440227040 530273480 583300828 729126035 1060546960 1166601656 1458252070 2121093920 2333203312 2916504140 4666406624 5833008280 11666016560 23332033120