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131032224 = 2532454973
BaseRepresentation
bin1111100111101…
…10010010100000
3100010120010102100
413303312102200
5232021012344
621000250400
73150520101
oct763662240
9303503370
10131032224
1167a674a4
1237a70a00
13211ba57b
141358c3a8
15b784569
hex7cf64a0

131032224 has 36 divisors (see below), whose sum is σ = 372623706. Its totient is φ = 43677312.

The previous prime is 131032211. The next prime is 131032259. The reversal of 131032224 is 422230131.

It can be written as a sum of positive squares in only one way, i.e., 125888400 + 5143824 = 11220^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131032197 and 131032206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 227199 + ... + 227774.

Almost surely, 2131032224 is an apocalyptic number.

It is an amenable number.

131032224 is an abundant number, since it is smaller than the sum of its proper divisors (241591482).

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

131032224 is a wasteful number, since it uses less digits than its factorization.

131032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454989 (or 454978 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131032224 is about 11446.9307676774. The cubic root of 131032224 is about 507.9169475898.

Adding to 131032224 its reverse (422230131), we get a palindrome (553262355).

The spelling of 131032224 in words is "one hundred thirty-one million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 454973 909946 1364919 1819892 2729838 3639784 4094757 5459676 7279568 8189514 10919352 14559136 16379028 21838704 32758056 43677408 65516112 131032224