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2238264 = 233274441
BaseRepresentation
bin1000100010011100111000
311012201022200
420202130320
51033111024
6115550200
725011360
oct10423470
94181280
102238264
111299706
128bb360
13604a22
144239a0
152e32c9
hex222738

2238264 has 48 divisors (see below), whose sum is σ = 6929520. Its totient is φ = 639360.

The previous prime is 2238259. The next prime is 2238277. The reversal of 2238264 is 4628322.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1717 + ... + 2724.

It is an arithmetic number, because the mean of its divisors is an integer number (144365).

22238264 is an apocalyptic number.

2238264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2238264 is an abundant number, since it is smaller than the sum of its proper divisors (4691256).

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

2238264 is a wasteful number, since it uses less digits than its factorization.

2238264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4453 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2238264 is about 1496.0828854044. The cubic root of 2238264 is about 130.8088426533.

The spelling of 2238264 in words is "two million, two hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4441 8882 13323 17764 26646 31087 35528 39969 53292 62174 79938 93261 106584 124348 159876 186522 248696 279783 319752 373044 559566 746088 1119132 2238264