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2274785304 = 2331117349807
BaseRepresentation
bin1000011110010110…
…0111100000011000
312212112102001210120
42013211213200120
514124321112204
61013420313240
7110241233061
oct20745474030
95775361716
102274785304
11a68069960
125359a2820
132a338730c
14178187568
15d4a906d9
hex87967818

2274785304 has 64 divisors (see below), whose sum is σ = 6239946240. Its totient is φ = 685330560.

The previous prime is 2274785299. The next prime is 2274785311. The reversal of 2274785304 is 4035874722.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20769 + ... + 70575.

It is an arithmetic number, because the mean of its divisors is an integer number (97499160).

Almost surely, 22274785304 is an apocalyptic number.

2274785304 is a gapful number since it is divisible by the number (24) 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 2274785304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119973120).

2274785304 is an abundant number, since it is smaller than the sum of its proper divisors (3965160936).

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

2274785304 is a wasteful number, since it uses less digits than its factorization.

2274785304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50000 (or 49996 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 2274785304 is about 47694.7093921328. The cubic root of 2274785304 is about 1315.1646830237.

The spelling of 2274785304 in words is "two billion, two hundred seventy-four million, seven hundred eighty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 173 264 346 519 692 1038 1384 1903 2076 3806 4152 5709 7612 11418 15224 22836 45672 49807 99614 149421 199228 298842 398456 547877 597684 1095754 1195368 1643631 2191508 3287262 4383016 6574524 8616611 13149048 17233222 25849833 34466444 51699666 68932888 94782721 103399332 189565442 206798664 284348163 379130884 568696326 758261768 1137392652 2274785304