Search a number
-
+
2224045160 = 235160134729
BaseRepresentation
bin1000010010010000…
…0011110001101000
312201222221012101222
42010210003301220
514023323421120
61004405001212
7106054033451
oct20444036150
95658835358
102224045160
11a41463057
125209b3208
13295a0006c
1417153a128
15d03bb525
hex84903c68

2224045160 has 32 divisors (see below), whose sum is σ = 5007371400. Its totient is φ = 889036800.

The previous prime is 2224045157. The next prime is 2224045199. The reversal of 2224045160 is 615404222.

It can be written as a sum of positive squares in 4 ways, for example, as 1847452324 + 376592836 = 42982^2 + 19406^2 .

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, 46676 + ... + 81404.

Almost surely, 22224045160 is an apocalyptic number.

2224045160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224045160 is an abundant number, since it is smaller than the sum of its proper divisors (2783326240).

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

2224045160 is a wasteful number, since it uses less digits than its factorization.

2224045160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36341 (or 36337 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2224045160 is about 47159.7832904266. The cubic root of 2224045160 is about 1305.3126108687.

Adding to 2224045160 its reverse (615404222), we get a palindrome (2839449382).

The spelling of 2224045160 in words is "two billion, two hundred twenty-four million, forty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 1601 3202 6404 8005 12808 16010 32020 34729 64040 69458 138916 173645 277832 347290 694580 1389160 55601129 111202258 222404516 278005645 444809032 556011290 1112022580 2224045160