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22245442452 = 2234109629897
BaseRepresentation
bin10100101101111011…
…101000001110010100
32010102022201120020000
4110231323220032110
5331024313124302
614115221011300
71415156066232
oct245573501624
963368646200
1022245442452
119485a77192
124389b53b30
13213695a0cc
1411105d1952
158a2e6231c
hex52dee8394

22245442452 has 60 divisors (see below), whose sum is σ = 58687596660. Its totient is φ = 7347106944.

The previous prime is 22245442451. The next prime is 22245442481. The reversal of 22245442452 is 25424454222.

22245442452 is a `hidden beast` number, since 2 + 224 + 5 + 4 + 424 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7583623056 + 14661819396 = 87084^2 + 121086^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22245442451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279633 + ... + 350264.

It is an arithmetic number, because the mean of its divisors is an integer number (978126611).

Almost surely, 222245442452 is an apocalyptic number.

It is an amenable number.

22245442452 is an abundant number, since it is smaller than the sum of its proper divisors (36442154208).

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

22245442452 is a wasteful number, since it uses less digits than its factorization.

22245442452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630022 (or 630011 counting only the distinct ones).

The product of its digits is 204800, while the sum is 36.

Adding to 22245442452 its reverse (25424454222), we get a palindrome (47669896674).

The spelling of 22245442452 in words is "twenty-two billion, two hundred forty-five million, four hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2943 3924 5886 8829 11772 17658 35316 629897 1259794 1889691 2519588 3779382 5669073 7558764 11338146 17007219 22676292 34014438 51021657 68028876 68658773 102043314 137317546 204086628 205976319 274635092 411952638 617928957 823905276 1235857914 1853786871 2471715828 3707573742 5561360613 7415147484 11122721226 22245442452