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2233132096 = 26132684053
BaseRepresentation
bin1000010100011010…
…1110010001000000
312202122000212100011
42011012232101000
514033140211341
61005331434304
7106224211126
oct20506562100
95678025304
102233132096
11a465aa218
12523a55994
13297862150
14172823916
15d10b3b81
hex851ae440

2233132096 has 28 divisors (see below), whose sum is σ = 4772248012. Its totient is φ = 1030675968.

The previous prime is 2233132093. The next prime is 2233132127. The reversal of 2233132096 is 6902313322.

It can be written as a sum of positive squares in 2 ways, for example, as 1086361600 + 1146770496 = 32960^2 + 33864^2 .

It is not an unprimeable number, because it can be changed into a prime (2233132093) 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, 1341195 + ... + 1342858.

It is an arithmetic number, because the mean of its divisors is an integer number (170437429).

Almost surely, 22233132096 is an apocalyptic number.

2233132096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2233132096 is an abundant number, since it is smaller than the sum of its proper divisors (2539115916).

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

2233132096 is a wasteful number, since it uses less digits than its factorization.

2233132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684078 (or 2684068 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 2233132096 is about 47256.0270864998. The cubic root of 2233132096 is about 1307.0879307179.

The spelling of 2233132096 in words is "two billion, two hundred thirty-three million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 2684053 5368106 10736212 21472424 34892689 42944848 69785378 85889696 139570756 171779392 279141512 558283024 1116566048 2233132096