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2244680 = 235173301
BaseRepresentation
bin1000100100000001001000
311020001010022
420210001020
51033312210
6120040012
725036154
oct10440110
94201108
102244680
1112a3509
12903008
13607919
14426064
152e5155
hex224048

2244680 has 32 divisors (see below), whose sum is σ = 5349240. Its totient is φ = 844800.

The previous prime is 2244667. The next prime is 2244689. The reversal of 2244680 is 864422.

It can be written as a sum of positive squares in 4 ways, for example, as 1779556 + 465124 = 1334^2 + 682^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2 + 217 + 43 + 47 + 6 + 87 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2244689) by changing a digit.

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, 971 + ... + 2330.

22244680 is an apocalyptic number.

2244680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244680 is an abundant number, since it is smaller than the sum of its proper divisors (3104560).

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

2244680 is a wasteful number, since it uses less digits than its factorization.

2244680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2244680 is about 1498.2256171885. The cubic root of 2244680 is about 130.9337115822.

The spelling of 2244680 in words is "two million, two hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3301 6602 13204 16505 26408 33010 56117 66020 112234 132040 224468 280585 448936 561170 1122340 2244680