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2244000960 = 263253892003
BaseRepresentation
bin1000010111000000…
…1011110011000000
312210101111001121200
42011300023303000
514043431012320
61010400421200
7106415456565
oct20560136300
95711431550
102244000960
11a51753153
12527617800
13299b99326
1417405286c
15d200e290
hex85c0bcc0

2244000960 has 168 divisors, whose sum is σ = 7742133360. Its totient is φ = 596563968.

The previous prime is 2244000943. The next prime is 2244001021. The reversal of 2244000960 is 690004422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119319 + ... + 1121321.

Almost surely, 22244000960 is an apocalyptic number.

2244000960 is a gapful number since it is divisible by the number (20) 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 2244000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871066680).

2244000960 is an abundant number, since it is smaller than the sum of its proper divisors (5498132400).

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

2244000960 is a wasteful number, since it uses less digits than its factorization.

2244000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2244000960 is about 47370.8872621149. The cubic root of 2244000960 is about 1309.2050729561.

The spelling of 2244000960 in words is "two billion, two hundred forty-four million, nine hundred sixty", and thus it is an aban number.