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225789660 = 22335418129
BaseRepresentation
bin11010111010101…
…00011011011100
3120201212022012000
431131110123130
5430300232120
634223242300
75411115615
oct1535243334
9521768160
10225789660
111064a8128
1263749390
1337a16a65
1421db6c0c
1514c50990
hexd7546dc

225789660 has 48 divisors (see below), whose sum is σ = 702458400. Its totient is φ = 60210432.

The previous prime is 225789659. The next prime is 225789661. The reversal of 225789660 is 66987522.

It is an interprime number because it is at equal distance from previous prime (225789659) and next prime (225789661).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225789661) 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, 208525 + ... + 209604.

It is an arithmetic number, because the mean of its divisors is an integer number (14634550).

Almost surely, 2225789660 is an apocalyptic number.

225789660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225789660 is an abundant number, since it is smaller than the sum of its proper divisors (476668740).

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

225789660 is a wasteful number, since it uses less digits than its factorization.

225789660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418147 (or 418139 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 225789660 is about 15026.2989455155. The cubic root of 225789660 is about 608.9309053111.

The spelling of 225789660 in words is "two hundred twenty-five million, seven hundred eighty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 418129 836258 1254387 1672516 2090645 2508774 3763161 4181290 5017548 6271935 7526322 8362580 11289483 12543870 15052644 18815805 22578966 25087740 37631610 45157932 56447415 75263220 112894830 225789660