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2242976832 = 26344161173
BaseRepresentation
bin1000010110110001…
…0001110001000000
312210022120000210000
42011230101301000
514043200224312
61010322440000
7106403663025
oct20554216100
95708500700
102242976832
11a51113768
12527203000
132998cb135
14173c6754c
hex85b11c40

2242976832 has 280 divisors, whose sum is σ = 6962726232. Its totient is φ = 713318400.

The previous prime is 2242976819. The next prime is 2242976849. The reversal of 2242976832 is 2386792422.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 2237668416 = 2304^2 + 47304^2 .

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 12965098 + ... + 12965270.

Almost surely, 22242976832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242976832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481363116).

2242976832 is an abundant number, since it is smaller than the sum of its proper divisors (4719749400).

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

2242976832 is a wasteful number, since it uses less digits than its factorization.

2242976832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2242976832 is about 47360.0763512898. The cubic root of 2242976832 is about 1309.0058755373.

The spelling of 2242976832 in words is "two billion, two hundred forty-two million, nine hundred seventy-six thousand, eight hundred thirty-two".