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2288964 = 223535961
BaseRepresentation
bin1000101110110101000100
311022021212110
420232311010
51041221324
6121021020
725312236
oct10566504
94267773
102288964
111323807
12924770
13621b22
14438256
15303329
hex22ed44

2288964 has 48 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 723840.

The previous prime is 2288953. The next prime is 2289013. The reversal of 2288964 is 4698822.

2288964 = T135 + T136 + ... + T252.

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, 37494 + ... + 37554.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22288964 is an apocalyptic number.

It is an amenable number.

2288964 is an abundant number, since it is smaller than the sum of its proper divisors (3335676).

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

2288964 is a wasteful number, since it uses less digits than its factorization.

2288964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 2288964 is about 1512.9322522836. The cubic root of 2288964 is about 131.7891491424.

The spelling of 2288964 in words is "two million, two hundred eighty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 53 59 61 106 118 122 159 177 183 212 236 244 318 354 366 636 708 732 3127 3233 3599 6254 6466 7198 9381 9699 10797 12508 12932 14396 18762 19398 21594 37524 38796 43188 190747 381494 572241 762988 1144482 2288964