Search a number
-
+
2413225160 = 23575779697
BaseRepresentation
bin1000111111010110…
…1110010011001000
320020011220112120122
42033311232103020
514420241201120
61035243442412
7113542034603
oct21765562310
96204815518
102413225160
111029225865
12574226408
132c5c694a8
1418c70333a
15e1cd9a25
hex8fd6e4c8

2413225160 has 32 divisors (see below), whose sum is σ = 5436997560. Its totient is φ = 964002816.

The previous prime is 2413225153. The next prime is 2413225181. The reversal of 2413225160 is 615223142.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1963021636 + 450203524 = 44306^2 + 21218^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9569 + ... + 70128.

Almost surely, 22413225160 is an apocalyptic number.

2413225160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413225160 is an abundant number, since it is smaller than the sum of its proper divisors (3023772400).

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

2413225160 is a wasteful number, since it uses less digits than its factorization.

2413225160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80465 (or 80461 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2413225160 is about 49124.5881407671. The cubic root of 2413225160 is about 1341.3206627707.

The spelling of 2413225160 in words is "two billion, four hundred thirteen million, two hundred twenty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 757 1514 3028 3785 6056 7570 15140 30280 79697 159394 318788 398485 637576 796970 1593940 3187880 60330629 120661258 241322516 301653145 482645032 603306290 1206612580 2413225160