Search a number
-
+
1122131826 = 23320780219
BaseRepresentation
bin100001011100010…
…0101111101110010
32220012111012111000
41002320211331302
54244231204301
6303203102430
736543651234
oct10270457562
92805435430
101122131826
11526461282
12273971a16
1314b62c53a
14a9060254
15687a8786
hex42e25f72

1122131826 has 16 divisors (see below), whose sum is σ = 2493626400. Its totient is φ = 374043924.

The previous prime is 1122131821. The next prime is 1122131833. The reversal of 1122131826 is 6281312211.

1122131826 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1122131826.

It is not an unprimeable number, because it can be changed into a prime (1122131821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10390056 + ... + 10390163.

It is an arithmetic number, because the mean of its divisors is an integer number (155851650).

Almost surely, 21122131826 is an apocalyptic number.

1122131826 is an abundant number, since it is smaller than the sum of its proper divisors (1371494574).

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

1122131826 is a wasteful number, since it uses less digits than its factorization.

1122131826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20780230 (or 20780224 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1122131826 is about 33498.2361625206. The cubic root of 1122131826 is about 1039.1573012074.

The spelling of 1122131826 in words is "one billion, one hundred twenty-two million, one hundred thirty-one thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 20780219 41560438 62340657 124681314 187021971 374043942 561065913 1122131826