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225859860 = 22335418259
BaseRepresentation
bin11010111011001…
…01100100010100
3120201222212111000
431131211210110
5430310003420
634224543300
75411530362
oct1535454424
9521885430
10225859860
11106545946
1263781b30
1337a3c9b5
1421dd4632
1514c66690
hexd765914

225859860 has 48 divisors (see below), whose sum is σ = 702676800. Its totient is φ = 60229152.

The previous prime is 225859853. The next prime is 225859891. The reversal of 225859860 is 68958522.

225859860 is a `hidden beast` number, since 2 + 2 + 58 + 598 + 6 + 0 = 666.

225859860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208590 + ... + 209669.

It is an arithmetic number, because the mean of its divisors is an integer number (14639100).

Almost surely, 2225859860 is an apocalyptic number.

225859860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225859860 is an abundant number, since it is smaller than the sum of its proper divisors (476816940).

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

225859860 is a wasteful number, since it uses less digits than its factorization.

225859860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418277 (or 418269 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 225859860 is about 15028.6346685253. The cubic root of 225859860 is about 608.9940061047.

The spelling of 225859860 in words is "two hundred twenty-five million, eight hundred fifty-nine thousand, eight 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 418259 836518 1254777 1673036 2091295 2509554 3764331 4182590 5019108 6273885 7528662 8365180 11292993 12547770 15057324 18821655 22585986 25095540 37643310 45171972 56464965 75286620 112929930 225859860