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225006015168 = 26321135512313
BaseRepresentation
bin1101000110001101100…
…1110101001011000000
3210111210001111212120100
43101203121311023000
512141303014441133
6251211043442400
722153600400214
oct3214331651300
9714701455510
10225006015168
1187474036540
1237736086400
13182aab8055c
14ac67192944
155cbd933e13
hex34636752c0

225006015168 has 84 divisors (see below), whose sum is σ = 703569964968. Its totient is φ = 68183639040.

The previous prime is 225006015151. The next prime is 225006015181. The reversal of 225006015168 is 861510600522.

225006015168 is a `hidden beast` number, since 22 + 500 + 60 + 15 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17749821 + ... + 17762492.

Almost surely, 2225006015168 is an apocalyptic number.

It is an amenable number.

225006015168 is an abundant number, since it is smaller than the sum of its proper divisors (478563949800).

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

225006015168 is a wasteful number, since it uses less digits than its factorization.

225006015168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35512342 (or 35512329 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 225006015168 in words is "two hundred twenty-five billion, six million, fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 35512313 71024626 106536939 142049252 213073878 284098504 319610817 390635443 426147756 568197008 639221634 781270886 852295512 1136394016 1171906329 1278443268 1562541772 1704591024 2272788032 2343812658 2556886536 3125083544 3409182048 3515718987 4687625316 5113773072 6250167088 6818364096 7031437974 9375250632 10227546144 12500334176 14062875948 18750501264 20455092288 25000668352 28125751896 37501002528 56251503792 75002005056 112503007584 225006015168