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2232838464 = 26311629367
BaseRepresentation
bin1000010100010110…
…0110100101000000
312202121110221112220
42011011212211000
514033101312324
61005321251040
7106221546063
oct20505464500
95677427486
102232838464
11a4641964a
12523933a80
1329778b5bc
141727888da
15d1056b79
hex85166940

2232838464 has 28 divisors (see below), whose sum is σ = 5907718944. Its totient is φ = 744279424.

The previous prime is 2232838453. The next prime is 2232838469. The reversal of 2232838464 is 4648382322.

It is a happy number.

It is a super-3 number, since 3×22328384643 (a number of 29 digits) contains 333 as substring.

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 (2232838469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5814492 + ... + 5814875.

Almost surely, 22232838464 is an apocalyptic number.

2232838464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2232838464 is an abundant number, since it is smaller than the sum of its proper divisors (3674880480).

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

2232838464 is a wasteful number, since it uses less digits than its factorization.

2232838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629382 (or 11629372 counting only the distinct ones).

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

The square root of 2232838464 is about 47252.9201637317. The cubic root of 2232838464 is about 1307.0306390382.

The spelling of 2232838464 in words is "two billion, two hundred thirty-two million, eight hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 11629367 23258734 34888101 46517468 69776202 93034936 139552404 186069872 279104808 372139744 558209616 744279488 1116419232 2232838464