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2257154144 = 25731325051
BaseRepresentation
bin1000011010001001…
…0111000001100000
312211022020022101122
42012202113001200
514110312413034
61011550351412
7106635331220
oct20642270140
95738208348
102257154144
11a59117353
1252babb568
1329c82318b
14175ab8080
15d325b62e
hex86897060

2257154144 has 48 divisors (see below), whose sum is σ = 5242438656. Its totient is φ = 936144000.

The previous prime is 2257154111. The next prime is 2257154171. The reversal of 2257154144 is 4414517522.

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 7 ways as a sum of consecutive naturals, for example, 155582 + ... + 169469.

It is an arithmetic number, because the mean of its divisors is an integer number (109217472).

Almost surely, 22257154144 is an apocalyptic number.

It is an amenable number.

2257154144 is an abundant number, since it is smaller than the sum of its proper divisors (2985284512).

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

2257154144 is a wasteful number, since it uses less digits than its factorization.

2257154144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325099 (or 325091 counting only the distinct ones).

The product of its digits is 44800, while the sum is 35.

The square root of 2257154144 is about 47509.5163519899. The cubic root of 2257154144 is about 1311.7580544834.

The spelling of 2257154144 in words is "two billion, two hundred fifty-seven million, one hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 325051 650102 1300204 2275357 2600408 4550714 5200816 9101428 10076581 10401632 18202856 20153162 36405712 40306324 70536067 72811424 80612648 141072134 161225296 282144268 322450592 564288536 1128577072 2257154144