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2258064 = 24335227
BaseRepresentation
bin1000100111010010010000
311020201111000
420213102100
51034224224
6120222000
725123164
oct10472220
94221430
102258064
111302576
1290a900
13610a43
1442aca4
152e90c9
hex227490

2258064 has 40 divisors (see below), whose sum is σ = 6482720. Its totient is φ = 752544.

The previous prime is 2258041. The next prime is 2258083. The reversal of 2258064 is 4608522.

2258064 is a `hidden beast` number, since 22 + 580 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2182 + ... + 3045.

It is an arithmetic number, because the mean of its divisors is an integer number (162068).

22258064 is an apocalyptic number.

2258064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2258064 is an abundant number, since it is smaller than the sum of its proper divisors (4224656).

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

2258064 is a wasteful number, since it uses less digits than its factorization.

2258064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2258064 is about 1502.6855958583. The cubic root of 2258064 is about 131.1934286814.

The spelling of 2258064 in words is "two million, two hundred fifty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5227 10454 15681 20908 31362 41816 47043 62724 83632 94086 125448 141129 188172 250896 282258 376344 564516 752688 1129032 2258064