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233099999999920 = 24529367273771493
BaseRepresentation
bin110101000000000011010010…
…101100100111011110110000
31010120100010211210020102122101
4311000003102230213132300
5221023102244444444140
62143432354531150144
7100045630205156314
oct6500032254473660
91116303753212571
10233099999999920
1168300178106109
1222188412445354
13a00b30aa3a6c1
14417c158d27b44
151be36ec7e699a
hexd400d2b277b0

233099999999920 has 80 divisors (see below), whose sum is σ = 562173336639360. Its totient is φ = 89779528000512.

The previous prime is 233099999999879. The next prime is 233099999999929. The reversal of 233099999999920 is 29999999990332.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (233099999999929) 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, 136034307 + ... + 137737186.

It is an arithmetic number, because the mean of its divisors is an integer number (7027166707992).

Almost surely, 2233099999999920 is an apocalyptic number.

233099999999920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233099999999920 is an abundant number, since it is smaller than the sum of its proper divisors (329073336639440).

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

233099999999920 is a wasteful number, since it uses less digits than its factorization.

233099999999920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273771902 (or 273771896 counting only the distinct ones).

The product of its (nonzero) digits is 13947137604, while the sum is 91.

The spelling of 233099999999920 in words is "two hundred thirty-three trillion, ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 367 464 580 734 1160 1468 1835 2320 2936 3670 5872 7340 10643 14680 21286 29360 42572 53215 85144 106430 170288 212860 425720 851440 273771493 547542986 1095085972 1368857465 2190171944 2737714930 4380343888 5475429860 7939373297 10950859720 15878746594 21901719440 31757493188 39696866485 63514986376 79393732970 100474137931 127029972752 158787465940 200948275862 317574931880 401896551724 502370689655 635149863760 803793103448 1004741379310 1607586206896 2009482758620 2913749999999 4018965517240 5827499999998 8037931034480 11654999999996 14568749999995 23309999999992 29137499999990 46619999999984 58274999999980 116549999999960 233099999999920