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2243664 = 243215581
BaseRepresentation
bin1000100011110001010000
311012222201200
420203301100
51033244124
6120031200
725033203
oct10436120
94188650
102243664
1112a2775
12902500
13607317
1442593a
152e4bc9
hex223c50

2243664 has 30 divisors (see below), whose sum is σ = 6279546. Its totient is φ = 747840.

The previous prime is 2243663. The next prime is 2243669. The reversal of 2243664 is 4663422.

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 501264 = 1320^2 + 708^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7647 + ... + 7934.

22243664 is an apocalyptic number.

2243664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2243664 is an abundant number, since it is smaller than the sum of its proper divisors (4035882).

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

2243664 is a wasteful number, since it uses less digits than its factorization.

2243664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15595 (or 15586 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2243664 is about 1497.8865110548. The cubic root of 2243664 is about 130.9139539439.

It can be divided in two parts, 22436 and 64, that added together give a square (22500 = 1502).

The spelling of 2243664 in words is "two million, two hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15581 31162 46743 62324 93486 124648 140229 186972 249296 280458 373944 560916 747888 1121832 2243664