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2252608 = 2661577
BaseRepresentation
bin1000100101111101000000
311020102222221
420211331000
51034040413
6120140424
725101241
oct10457500
94212887
102252608
1112a9466
12907714
1360b407
14428cc8
152e768d
hex225f40

2252608 has 28 divisors (see below), whose sum is σ = 4551172. Its totient is φ = 1105920.

The previous prime is 2252587. The next prime is 2252611. The reversal of 2252608 is 8062522.

It can be written as a sum of positive squares in 2 ways, for example, as 1236544 + 1016064 = 1112^2 + 1008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3616 + ... + 4192.

22252608 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 2252608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275586).

2252608 is an abundant number, since it is smaller than the sum of its proper divisors (2298564).

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

2252608 is an equidigital number, since it uses as much as digits as its factorization.

2252608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2252608 is about 1500.8690815657. The cubic root of 2252608 is about 131.0876790027.

The spelling of 2252608 in words is "two million, two hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 577 976 1154 1952 2308 3904 4616 9232 18464 35197 36928 70394 140788 281576 563152 1126304 2252608