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225962424 = 233213123957
BaseRepresentation
bin11010111011111…
…10100110111000
3120202012002011200
431131332212320
5430321244144
634231054200
75412435402
oct1535764670
9522162150
10225962424
11106605a06
1263811360
1337a7759c
142201db72
1514c86c69
hexd77e9b8

225962424 has 48 divisors (see below), whose sum is σ = 616678920. Its totient is φ = 74742720.

The previous prime is 225962423. The next prime is 225962449. The reversal of 225962424 is 424269522.

It is a happy number.

225962424 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 624 + 24 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225962423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2547 + ... + 21410.

Almost surely, 2225962424 is an apocalyptic number.

225962424 is a gapful number since it is divisible by the number (24) 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 225962424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308339460).

225962424 is an abundant number, since it is smaller than the sum of its proper divisors (390716496).

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

225962424 is a wasteful number, since it uses less digits than its factorization.

225962424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24100 (or 24093 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 225962424 is about 15032.0465672509. The cubic root of 225962424 is about 609.0861744800.

The spelling of 225962424 in words is "two hundred twenty-five million, nine hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 23957 47914 71871 95828 143742 191656 215613 287484 431226 574968 862452 1724904 3138367 6276734 9415101 12553468 18830202 25106936 28245303 37660404 56490606 75320808 112981212 225962424