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2274031872 = 283271941181
BaseRepresentation
bin1000011110001010…
…1111100100000000
312212110222210021200
42013202233210000
514124123004442
61013352221200
7110231644350
oct20742574400
95773883250
102274031872
11a676a4892
1253569a800
132a31823b8
1417802cb60
15d499234c
hex878af900

2274031872 has 432 divisors, whose sum is σ = 8124654720. Its totient is φ = 597196800.

The previous prime is 2274031849. The next prime is 2274031883. The reversal of 2274031872 is 2781304722.

2274031872 is a `hidden beast` number, since 2 + 274 + 0 + 318 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12563622 + ... + 12563802.

Almost surely, 22274031872 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 2274031872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062327360).

2274031872 is an abundant number, since it is smaller than the sum of its proper divisors (5850622848).

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

2274031872 is a wasteful number, since it uses less digits than its factorization.

2274031872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2274031872 is about 47686.8102518925. The cubic root of 2274031872 is about 1315.0194683562.

The spelling of 2274031872 in words is "two billion, two hundred seventy-four million, thirty-one thousand, eight hundred seventy-two".