Search a number
-
+
2242565844 = 2236726910369
BaseRepresentation
bin1000010110101010…
…1101011011010100
312210021210011000020
42011222231123110
514043044101334
61010305545140
7106400331561
oct20552553324
95707704006
102242565844
11a50962a02
125270451b0
132997b604c
14173b9b868
15d1d28e49
hex85aad6d4

2242565844 has 48 divisors (see below), whose sum is σ = 5331009600. Its totient is φ = 733556736.

The previous prime is 2242565833. The next prime is 2242565861. The reversal of 2242565844 is 4485652422.

2242565844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2242565796 and 2242565805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211092 + ... + 221460.

It is an arithmetic number, because the mean of its divisors is an integer number (111062700).

Almost surely, 22242565844 is an apocalyptic number.

It is an amenable number.

2242565844 is an abundant number, since it is smaller than the sum of its proper divisors (3088443756).

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

2242565844 is a wasteful number, since it uses less digits than its factorization.

2242565844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10712 (or 10710 counting only the distinct ones).

The product of its digits is 614400, while the sum is 42.

The square root of 2242565844 is about 47355.7371814651. The cubic root of 2242565844 is about 1308.9259195072.

The spelling of 2242565844 in words is "two billion, two hundred forty-two million, five hundred sixty-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 67 134 201 268 269 402 538 804 807 1076 1614 3228 10369 18023 20738 31107 36046 41476 54069 62214 72092 108138 124428 216276 694723 1389446 2084169 2778892 2789261 4168338 5578522 8336676 8367783 11157044 16735566 33471132 186880487 373760974 560641461 747521948 1121282922 2242565844