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224856972 = 22341096367
BaseRepresentation
bin11010110011100…
…00101110001100
3120200002220210000
431121300232030
5430030410342
634151244300
75400152454
oct1531605614
9520086700
10224856972
11105a2040a
1263379690
133777b382
1421c12d64
1514b1944c
hexd670b8c

224856972 has 60 divisors (see below), whose sum is σ = 593306560. Its totient is φ = 74253024.

The previous prime is 224856967. The next prime is 224856979. The reversal of 224856972 is 279658422.

224856972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (224856979) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32133 + ... + 38499.

Almost surely, 2224856972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224856972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296653280).

224856972 is an abundant number, since it is smaller than the sum of its proper divisors (368449588).

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

224856972 is a wasteful number, since it uses less digits than its factorization.

224856972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492 (or 6481 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 224856972 is about 14995.2316420921. The cubic root of 224856972 is about 608.0912944339.

The spelling of 224856972 in words is "two hundred twenty-four million, eight hundred fifty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2943 3924 5886 6367 8829 11772 12734 17658 19101 25468 35316 38202 57303 76404 114606 171909 229212 343818 515727 687636 694003 1031454 1388006 2062908 2082009 2776012 4164018 6246027 8328036 12492054 18738081 24984108 37476162 56214243 74952324 112428486 224856972