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2243964996 = 223274131997
BaseRepresentation
bin1000010111000000…
…0011000001000100
312210101102020021200
42011300003001010
514043423334441
61010355542500
7106415250000
oct20560030104
95711366250
102243964996
11a51729129
125275baa30
13299b85b50
14174043700
15d20037b6
hex85c03044

2243964996 has 180 divisors, whose sum is σ = 7129811052. Its totient is φ = 591518592.

The previous prime is 2243964887. The next prime is 2243965001. The reversal of 2243964996 is 6994693422.

2243964996 is a `hidden beast` number, since 22 + 43 + 96 + 499 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167340096 + 2076624900 = 12936^2 + 45570^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1122670 + ... + 1124666.

Almost surely, 22243964996 is an apocalyptic number.

2243964996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243964996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564905526).

2243964996 is an abundant number, since it is smaller than the sum of its proper divisors (4885846056).

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

2243964996 is a wasteful number, since it uses less digits than its factorization.

2243964996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2022 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 2243964996 is about 47370.5076603576. The cubic root of 2243964996 is about 1309.1980788262.

The spelling of 2243964996 in words is "two billion, two hundred forty-three million, nine hundred sixty-four thousand, nine hundred ninety-six".