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2244880 = 245112551
BaseRepresentation
bin1000100100000100010000
311020001101201
420210010100
51033314010
6120040544
725036561
oct10440420
94201351
102244880
1112a3680
12903154
13607a41
14426168
152e523a
hex224110

2244880 has 40 divisors (see below), whose sum is σ = 5696064. Its totient is φ = 816000.

The previous prime is 2244863. The next prime is 2244881. The reversal of 2244880 is 884422.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 217 + 221 + 44 + 47 + 8 + 8 + 0 .

It is not an unprimeable number, because it can be changed into a prime (2244881) 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, 396 + ... + 2155.

22244880 is an apocalyptic number.

2244880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244880 is an abundant number, since it is smaller than the sum of its proper divisors (3451184).

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

2244880 is a wasteful number, since it uses less digits than its factorization.

2244880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 2244880 is about 1498.2923613234. The cubic root of 2244880 is about 130.9376001788.

The spelling of 2244880 in words is "two million, two hundred forty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2551 5102 10204 12755 20408 25510 28061 40816 51020 56122 102040 112244 140305 204080 224488 280610 448976 561220 1122440 2244880