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225239808 = 283313937
BaseRepresentation
bin11010110110011…
…10001100000000
3120200211100221010
431123032030000
5430130133213
634203400520
75403335553
oct1533161400
9520740833
10225239808
11106162002
1263523140
13378836c1
1421cb269a
1514b92ac3
hexd6ce300

225239808 has 72 divisors (see below), whose sum is σ = 602023408. Its totient is φ = 74760192.

The previous prime is 225239789. The next prime is 225239837. The reversal of 225239808 is 808932522.

It is a super-2 number, since 2×2252398082 = 101465942215753728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239916 + ... + 240852.

Almost surely, 2225239808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225239808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301011704).

225239808 is an abundant number, since it is smaller than the sum of its proper divisors (376783600).

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

225239808 is an equidigital number, since it uses as much as digits as its factorization.

225239808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 225239808 is about 15007.9914712129. The cubic root of 225239808 is about 608.4362059008.

The spelling of 225239808 in words is "two hundred twenty-five million, two hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 313 384 626 768 937 939 1252 1874 1878 2504 2811 3748 3756 5008 5622 7496 7512 10016 11244 14992 15024 20032 22488 29984 30048 40064 44976 59968 60096 80128 89952 119936 120192 179904 239872 240384 293281 359808 586562 719616 879843 1173124 1759686 2346248 3519372 4692496 7038744 9384992 14077488 18769984 28154976 37539968 56309952 75079936 112619904 225239808