Search a number
-
+
2090228224 = 2972325357
BaseRepresentation
bin111110010010110…
…0101101000000000
312101200010121002011
41330211211220000
513240044300344
6543224502304
7102540434560
oct17445455000
95350117064
102090228224
11982974447
124a401a994
13274079146
1415b864da0
15c3786d34
hex7c965a00

2090228224 has 80 divisors (see below), whose sum is σ = 4980716928. Its totient is φ = 856829952.

The previous prime is 2090228219. The next prime is 2090228233. The reversal of 2090228224 is 4228220902.

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 7 ways as a sum of consecutive naturals, for example, 69754 + ... + 95110.

Almost surely, 22090228224 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 2090228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490358464).

2090228224 is an abundant number, since it is smaller than the sum of its proper divisors (2890488704).

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

2090228224 is an equidigital number, since it uses as much as digits as its factorization.

2090228224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25405 (or 25389 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2090228224 is about 45719.0138126360. The cubic root of 2090228224 is about 1278.5898010959.

The spelling of 2090228224 in words is "two billion, ninety million, two hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 368 448 512 644 736 896 1288 1472 1792 2576 2944 3584 5152 5888 10304 11776 20608 25357 41216 50714 82432 101428 177499 202856 354998 405712 583211 709996 811424 1166422 1419992 1622848 2332844 2839984 3245696 4082477 4665688 5679968 6491392 8164954 9331376 11359936 12982784 16329908 18662752 22719872 32659816 37325504 45439744 65319632 74651008 90879488 130639264 149302016 261278528 298604032 522557056 1045114112 2090228224