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2251944 = 233231277
BaseRepresentation
bin1000100101110010101000
311020102002100
420211302220
51034030234
6120133400
725066302
oct10456250
94212070
102251944
1112a8a12
12907260
1360b016
14428972
152e7399
hex225ca8

2251944 has 24 divisors (see below), whose sum is σ = 6099210. Its totient is φ = 750624.

The previous prime is 2251943. The next prime is 2251957. The reversal of 2251944 is 4491522.

It can be written as a sum of positive squares in only one way, i.e., 1855044 + 396900 = 1362^2 + 630^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2251943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15567 + ... + 15710.

22251944 is an apocalyptic number.

2251944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2251944 is an abundant number, since it is smaller than the sum of its proper divisors (3847266).

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

2251944 is a wasteful number, since it uses less digits than its factorization.

2251944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31289 (or 31282 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2251944 is about 1500.6478600924. The cubic root of 2251944 is about 131.0747975230.

The spelling of 2251944 in words is "two million, two hundred fifty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 31277 62554 93831 125108 187662 250216 281493 375324 562986 750648 1125972 2251944