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2252704 = 251741101
BaseRepresentation
bin1000100101111110100000
311020110010111
420211332200
51034041304
6120141104
725101436
oct10457640
94213114
102252704
1112a9543
12907794
1360b47c
14428d56
152e7704
hex225fa0

2252704 has 48 divisors (see below), whose sum is σ = 4858056. Its totient is φ = 1024000.

The previous prime is 2252693. The next prime is 2252711. The reversal of 2252704 is 4072522.

It can be written as a sum of positive squares in 4 ways, for example, as 2131600 + 121104 = 1460^2 + 348^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22254 + ... + 22354.

22252704 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 2252704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429028).

2252704 is an abundant number, since it is smaller than the sum of its proper divisors (2605352).

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

2252704 is a wasteful number, since it uses less digits than its factorization.

2252704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2252704 is about 1500.9010626953. The cubic root of 2252704 is about 131.0895411759.

It can be divided in two parts, 225 and 2704, that multiplied together give a square (608400 = 7802).

The spelling of 2252704 in words is "two million, two hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 101 136 164 202 272 328 404 544 656 697 808 1312 1394 1616 1717 2788 3232 3434 4141 5576 6868 8282 11152 13736 16564 22304 27472 33128 54944 66256 70397 132512 140794 281588 563176 1126352 2252704