Search a number
-
+
2245937672 = 2311231109653
BaseRepresentation
bin1000010111011110…
…0100101000001000
312210112010110021202
42011313210220020
514044430001142
61010510123332
7106441104146
oct20567445010
95715113252
102245937672
11a52856240
125281b0548
1329a3c6a04
141743d8596
15d2293032
hex85de4a08

2245937672 has 32 divisors (see below), whose sum is σ = 4793705280. Its totient is φ = 976493760.

The previous prime is 2245937669. The next prime is 2245937713. The reversal of 2245937672 is 2767395422.

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, 552803 + ... + 556850.

It is an arithmetic number, because the mean of its divisors is an integer number (149803290).

Almost surely, 22245937672 is an apocalyptic number.

2245937672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2245937672 is an abundant number, since it is smaller than the sum of its proper divisors (2547767608).

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

2245937672 is a wasteful number, since it uses less digits than its factorization.

2245937672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109693 (or 1109689 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 47.

The square root of 2245937672 is about 47391.3248601471. The cubic root of 2245937672 is about 1309.5816063777.

The spelling of 2245937672 in words is "two billion, two hundred forty-five million, nine hundred thirty-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 1109653 2219306 4438612 8877224 12206183 24412366 25522019 48824732 51044038 97649464 102088076 204176152 280742209 561484418 1122968836 2245937672