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225351593520 = 24358311312831
BaseRepresentation
bin1101000111100000000…
…0000110111000110000
3210112200010210001221120
43101320000012320300
512143010001443040
6251305230422240
722165264640244
oct3217000067060
9715603701846
10225351593520
1187631110689
1237811961980
1318334648ca1
14ac9b02c424
155cdde477d0
hex3478006e30

225351593520 has 80 divisors (see below), whose sum is σ = 707006748672. Its totient is φ = 59369731840.

The previous prime is 225351593507. The next prime is 225351593521. The reversal of 225351593520 is 25395153522.

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 (225351593521) 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, 5636496 + ... + 5676335.

Almost surely, 2225351593520 is an apocalyptic number.

225351593520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225351593520 is an abundant number, since it is smaller than the sum of its proper divisors (481655155152).

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

225351593520 is a wasteful number, since it uses less digits than its factorization.

225351593520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11312930 (or 11312924 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 225351593520 in words is "two hundred twenty-five billion, three hundred fifty-one million, five hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 6640 9960 19920 11312831 22625662 33938493 45251324 56564155 67876986 90502648 113128310 135753972 169692465 181005296 226256620 271507944 339384930 452513240 543015888 678769860 905026480 938964973 1357539720 1877929946 2715079440 2816894919 3755859892 4694824865 5633789838 7511719784 9389649730 11267579676 14084474595 15023439568 18779299460 22535159352 28168949190 37558598920 45070318704 56337898380 75117197840 112675796760 225351593520