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2261088 = 25332617
BaseRepresentation
bin1000101000000001100000
311020212122000
420220001200
51034323323
6120244000
725135044
oct10500140
94225560
102261088
111304875
12910600
1361222b
1442c024
152e9e43
hex228060

2261088 has 48 divisors (see below), whose sum is σ = 6597360. Its totient is φ = 753408.

The previous prime is 2261071. The next prime is 2261093. The reversal of 2261088 is 8801622.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×22610882 = 10225037887488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445 + ... + 2172.

It is an arithmetic number, because the mean of its divisors is an integer number (137445).

22261088 is an apocalyptic number.

It is an amenable number.

2261088 is an abundant number, since it is smaller than the sum of its proper divisors (4336272).

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

2261088 is a wasteful number, since it uses less digits than its factorization.

2261088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2261088 is about 1503.6914577133. The cubic root of 2261088 is about 131.2519673175.

The spelling of 2261088 in words is "two million, two hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2617 5234 7851 10468 15702 20936 23553 31404 41872 47106 62808 70659 83744 94212 125616 141318 188424 251232 282636 376848 565272 753696 1130544 2261088