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2244959160 = 23352353103149
BaseRepresentation
bin1000010111001111…
…0101101110111000
312210110021202000120
42011303311232320
514044202143120
61010433133240
7106426560303
oct20563655670
95713252016
102244959160
11a52248054
125279ba220
1329a143502
14174221b3a
15d214d140
hex85cf5bb8

2244959160 has 256 divisors, whose sum is σ = 7278336000. Its totient is φ = 552634368.

The previous prime is 2244959159. The next prime is 2244959317. The reversal of 2244959160 is 619594422.

It is a Cunningham number, because it is equal to 473812-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15066766 + ... + 15066914.

It is an arithmetic number, because the mean of its divisors is an integer number (28431000).

Almost surely, 22244959160 is an apocalyptic number.

2244959160 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 2244959160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639168000).

2244959160 is an abundant number, since it is smaller than the sum of its proper divisors (5033376840).

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

2244959160 is a wasteful number, since it uses less digits than its factorization.

2244959160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2244959160 is about 47380.9999894472. Note that the first 4 decimals coincide. The cubic root of 2244959160 is about 1309.3913922149.

The spelling of 2244959160 in words is "two billion, two hundred forty-four million, nine hundred fifty-nine thousand, one hundred sixty".