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2263624 = 231129887
BaseRepresentation
bin1000101000101001001000
311021000002221
420220221020
51034413444
6120303424
725145326
oct10505110
94230087
102263624
111306770
12911b74
1361342c
1442cd16
152eaa84
hex228a48

2263624 has 32 divisors (see below), whose sum is σ = 4795200. Its totient is φ = 992320.

The previous prime is 2263619. The next prime is 2263627. The reversal of 2263624 is 4263622.

It is a happy number.

It is a super-2 number, since 2×22636242 = 10247987226752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2263627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2109 + ... + 2995.

It is an arithmetic number, because the mean of its divisors is an integer number (149850).

22263624 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 2263624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397600).

2263624 is an abundant number, since it is smaller than the sum of its proper divisors (2531576).

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

2263624 is a wasteful number, since it uses less digits than its factorization.

2263624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 929 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 2263624 is about 1504.5344794986. The cubic root of 2263624 is about 131.3010190166.

The spelling of 2263624 in words is "two million, two hundred sixty-three thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 887 1276 1774 2552 3548 7096 9757 19514 25723 39028 51446 78056 102892 205784 282953 565906 1131812 2263624