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225048978 = 232711397409
BaseRepresentation
bin11010110100111…
…11100110010010
3120200110200011100
431122133212102
5430103031403
634155325230
75401612320
oct1532374622
9520420140
10225048978
111060416a0
1263450816
133781789b
1421c62d10
1514b562a3
hexd69f992

225048978 has 96 divisors (see below), whose sum is σ = 610945920. Its totient is φ = 58164480.

The previous prime is 225048973. The next prime is 225048983. The reversal of 225048978 is 879840522.

It is an interprime number because it is at equal distance from previous prime (225048973) and next prime (225048983).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225048973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550038 + ... + 550446.

It is an arithmetic number, because the mean of its divisors is an integer number (6364020).

Almost surely, 2225048978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225048978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305472960).

225048978 is an abundant number, since it is smaller than the sum of its proper divisors (385896942).

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

225048978 is a wasteful number, since it uses less digits than its factorization.

225048978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 225048978 is about 15001.6325111636. The cubic root of 225048978 is about 608.2643288132.

The spelling of 225048978 in words is "two hundred twenty-five million, forty-eight thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 397 409 462 693 794 818 1191 1227 1386 2382 2454 2779 2863 3573 3681 4367 4499 5558 5726 7146 7362 8337 8589 8734 8998 13101 13497 16674 17178 25011 25767 26202 26994 30569 31493 39303 40491 50022 51534 61138 62986 78606 80982 91707 94479 162373 183414 188958 275121 283437 324746 487119 550242 566874 974238 1136611 1461357 1786103 2273222 2922714 3409833 3572206 5358309 6819666 10229499 10716618 12502721 16074927 20458998 25005442 32149854 37508163 75016326 112524489 225048978