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2260664 = 23727379
BaseRepresentation
bin1000100111111010111000
311020212001022
420213322320
51034320124
6120242012
725133600
oct10477270
94225038
102260664
11130451a
12910308
13611c93
1442bc00
152e9c5e
hex227eb8

2260664 has 48 divisors (see below), whose sum is σ = 5061600. Its totient is φ = 943488.

The previous prime is 2260651. The next prime is 2260673. The reversal of 2260664 is 4660622.

2260664 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22606642 = 10221203441792, 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, 28577 + ... + 28655.

It is an arithmetic number, because the mean of its divisors is an integer number (105450).

22260664 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 2260664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530800).

2260664 is an abundant number, since it is smaller than the sum of its proper divisors (2800936).

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

2260664 is a wasteful number, since it uses less digits than its factorization.

2260664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 2260664 is about 1503.5504647334. The cubic root of 2260664 is about 131.2437626666.

The spelling of 2260664 in words is "two million, two hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 73 79 98 146 158 196 292 316 392 511 553 584 632 1022 1106 2044 2212 3577 3871 4088 4424 5767 7154 7742 11534 14308 15484 23068 28616 30968 40369 46136 80738 161476 282583 322952 565166 1130332 2260664