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2241525341124 = 223262264592809
BaseRepresentation
bin100000100111100101010…
…100100101101111000100
321221021202202101102121200
4200213211110211233010
5243211120441403444
64433424215142500
7320642042013366
oct40474524455704
97837682342550
102241525341124
11794697689423
1230250a374a30
131334b495b5c4
147a6c195ad36
153d491cdb969
hex209e5525bc4

2241525341124 has 18 divisors (see below), whose sum is σ = 5666077945710. Its totient is φ = 747175113696.

The previous prime is 2241525341117. The next prime is 2241525341137. The reversal of 2241525341124 is 4211435251422.

2241525341124 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 5 + 2 + 534 + 112 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2240739548100 + 785793024 = 1496910^2 + 28032^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 62264592809 = 2241525341124 / (2 + 2 + 4 + 1 + 5 + 2 + 5 + 3 + 4 + 1 + 1 + 2 + 4).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31132296369 + ... + 31132296440.

It is an arithmetic number, because the mean of its divisors is an integer number (314782108095).

Almost surely, 22241525341124 is an apocalyptic number.

It is an amenable number.

2241525341124 is an abundant number, since it is smaller than the sum of its proper divisors (3424552604586).

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

2241525341124 is a wasteful number, since it uses less digits than its factorization.

2241525341124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62264592819 (or 62264592814 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 2241525341124 in words is "two trillion, two hundred forty-one billion, five hundred twenty-five million, three hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 62264592809 124529185618 186793778427 249058371236 373587556854 560381335281 747175113708 1120762670562 2241525341124