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225656340 = 2235713371117
BaseRepresentation
bin11010111001100…
…11111000010100
3120201121112022020
431130303320110
5430232000330
634220333140
75410022130
oct1534637024
9521545266
10225656340
11106416a48
12636a41b0
133799b180
1421d803c0
1514c26210
hexd733e14

225656340 has 192 divisors, whose sum is σ = 799378944. Its totient is φ = 46282752.

The previous prime is 225656329. The next prime is 225656341. The reversal of 225656340 is 43656522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225656341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201462 + ... + 202578.

It is an arithmetic number, because the mean of its divisors is an integer number (4163432).

Almost surely, 2225656340 is an apocalyptic number.

225656340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225656340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399689472).

225656340 is an abundant number, since it is smaller than the sum of its proper divisors (573722604).

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

225656340 is a wasteful number, since it uses less digits than its factorization.

225656340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 225656340 is about 15021.8620683323. The cubic root of 225656340 is about 608.8110317203.

The spelling of 225656340 in words is "two hundred twenty-five million, six hundred fifty-six thousand, three hundred forty".