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2260944 = 243272243
BaseRepresentation
bin1000100111111111010000
311020212102200
420213333100
51034322234
6120243200
725134450
oct10477720
94225380
102260944
111304754
12910500
1361214a
1442bd60
152e9d99
hex227fd0

2260944 has 60 divisors (see below), whose sum is σ = 7234656. Its totient is φ = 645696.

The previous prime is 2260919. The next prime is 2260961. The reversal of 2260944 is 4490622.

It is a super-2 number, since 2×22609442 = 10223735542272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114 + ... + 2129.

22260944 is an apocalyptic number.

2260944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617328).

2260944 is an abundant number, since it is smaller than the sum of its proper divisors (4973712).

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

2260944 is a wasteful number, since it uses less digits than its factorization.

2260944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2260944 is about 1503.6435747876. The cubic root of 2260944 is about 131.2491809473.

The spelling of 2260944 in words is "two million, two hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2243 4486 6729 8972 13458 15701 17944 20187 26916 31402 35888 40374 47103 53832 62804 80748 94206 107664 125608 141309 161496 188412 251216 282618 322992 376824 565236 753648 1130472 2260944