Search a number
-
+
2285604864 = 21234832
BaseRepresentation
bin1000100000111011…
…1001000000000000
312220021202202110000
42020032321000000
514140103323424
61014444240000
7110432215014
oct21016710000
95807682400
102285604864
11a73189844
12539540000
132a56a4c1a
141797a2544
15d59cb3c9
hex883b9000

2285604864 has 195 divisors, whose sum is σ = 6911017003. Its totient is φ = 752689152.

The previous prime is 2285604847. The next prime is 2285604887. The reversal of 2285604864 is 4684065822.

The square root of 2285604864 is 47808.

It is a perfect power (a square), and thus also a powerful number.

2285604864 is a `hidden beast` number, since 2 + 2 + 8 + 560 + 4 + 86 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 27537367 + ... + 27537449.

Almost surely, 22285604864 is an apocalyptic number.

2285604864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2285604864 is the 47808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2285604864

2285604864 is an abundant number, since it is smaller than the sum of its proper divisors (4625412139).

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

2285604864 is an frugal number, since it uses more digits than its factorization.

2285604864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The cubic root of 2285604864 is about 1317.2464916045.

The spelling of 2285604864 in words is "two billion, two hundred eighty-five million, six hundred four thousand, eight hundred sixty-four".