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2233848264 = 233412270171
BaseRepresentation
bin1000010100100101…
…1101000111001000
312202200101020201220
42011021131013020
514033331121024
61005355042040
7106233253104
oct20511350710
95680336656
102233848264
11a46a4929a
12524140320
13297a5310b
1417296c904
15d11a5e79
hex8525d1c8

2233848264 has 32 divisors (see below), whose sum is σ = 5720833440. Its totient is φ = 726454400.

The previous prime is 2233848257. The next prime is 2233848269. The reversal of 2233848264 is 4628483322.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2233848269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1134102 + ... + 1136069.

It is an arithmetic number, because the mean of its divisors is an integer number (178776045).

Almost surely, 22233848264 is an apocalyptic number.

2233848264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2233848264 is an abundant number, since it is smaller than the sum of its proper divisors (3486985176).

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

2233848264 is a wasteful number, since it uses less digits than its factorization.

2233848264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270221 (or 2270217 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 2233848264 is about 47263.6040098510. The cubic root of 2233848264 is about 1307.2276439783.

The spelling of 2233848264 in words is "two billion, two hundred thirty-three million, eight hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 2270171 4540342 6810513 9080684 13621026 18161368 27242052 54484104 93077011 186154022 279231033 372308044 558462066 744616088 1116924132 2233848264