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2232264 = 233281331
BaseRepresentation
bin1000100000111111001000
311012102002110
420200333020
51032413024
6115502320
724655026
oct10407710
94172073
102232264
111295151
128b79a0
13602088
14421716
152e1629
hex220fc8

2232264 has 32 divisors (see below), whose sum is σ = 5617440. Its totient is φ = 739200.

The previous prime is 2232257. The next prime is 2232271. The reversal of 2232264 is 4622322.

2232264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2232257) and next prime (2232271).

It is a super-3 number, since 3×22322643 = 33370131717932447232, which contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2232264.

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, 6579 + ... + 6909.

It is an arithmetic number, because the mean of its divisors is an integer number (175545).

22232264 is an apocalyptic number.

2232264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2232264 is an abundant number, since it is smaller than the sum of its proper divisors (3385176).

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

2232264 is a wasteful number, since it uses less digits than its factorization.

2232264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 2232264 is about 1494.0763032724. The cubic root of 2232264 is about 130.6918538609.

Adding to 2232264 its reverse (4622322), we get a palindrome (6854586).

The spelling of 2232264 in words is "two million, two hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 281 331 562 662 843 993 1124 1324 1686 1986 2248 2648 3372 3972 6744 7944 93011 186022 279033 372044 558066 744088 1116132 2232264