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22416199245 = 32511220292
BaseRepresentation
bin10100111000000111…
…000000111001001101
32010212020000220111200
4110320013000321031
5331402021333440
614144200540113
71422331356366
oct247007007115
963766026450
1022416199245
1195633a6300
124417181639
132163145a2b
141129160b6d
158b2e41c30
hex5381c0e4d

22416199245 has 54 divisors (see below), whose sum is σ = 42729167754. Its totient is φ = 10863103680.

The previous prime is 22416199243. The next prime is 22416199283. The reversal of 22416199245 is 54299161422.

22416199245 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 619 + 9 + 24 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 16242482916 + 6173716329 = 127446^2 + 78573^2 .

It is not a de Polignac number, because 22416199245 - 21 = 22416199243 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 22416199245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22416199243) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11046891 + ... + 11048919.

Almost surely, 222416199245 is an apocalyptic number.

It is an amenable number.

22416199245 is a deficient number, since it is larger than the sum of its proper divisors (20312968509).

22416199245 is an equidigital number, since it uses as much as digits as its factorization.

22416199245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 2048 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

Multiplying 22416199245 by its sum of digits (45), we get a square (1008728966025 = 10043552).

22416199245 divided by its sum of digits (45) gives a square (498137761 = 223192).

The spelling of 22416199245 in words is "twenty-two billion, four hundred sixteen million, one hundred ninety-nine thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 2029 5445 6087 10145 18261 22319 30435 66957 91305 111595 200871 245509 334785 736527 1004355 1227545 2209581 3682635 4116841 11047905 12350523 20584205 37051569 45285251 61752615 135855753 185257845 226426255 407567259 498137761 679278765 1494413283 2037836295 2490688805 4483239849 7472066415 22416199245