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22113141520 = 245276414269
BaseRepresentation
bin10100100110000010…
…111100001100010000
32010002002202222110111
4110212002330030100
5330241431012040
614054133211104
71411661413231
oct244602741420
963062688414
1022113141520
119418323578
124351790a94
132115417232
1410dabd3088
1589652bdea
hex5260bc310

22113141520 has 20 divisors (see below), whose sum is σ = 51413054220. Its totient is φ = 8845256576.

The previous prime is 22113141473. The next prime is 22113141521. The reversal of 22113141520 is 2514131122.

It can be written as a sum of positive squares in 2 ways, for example, as 16979132416 + 5134009104 = 130304^2 + 71652^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 22113141491 and 22113141500.

It is not an unprimeable number, because it can be changed into a prime (22113141521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 138207055 + ... + 138207214.

It is an arithmetic number, because the mean of its divisors is an integer number (2570652711).

Almost surely, 222113141520 is an apocalyptic number.

22113141520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22113141520 is an abundant number, since it is smaller than the sum of its proper divisors (29299912700).

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

22113141520 is a wasteful number, since it uses less digits than its factorization.

22113141520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276414282 (or 276414276 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 22113141520 its reverse (2514131122), we get a palindrome (24627272642).

The spelling of 22113141520 in words is "twenty-two billion, one hundred thirteen million, one hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 276414269 552828538 1105657076 1382071345 2211314152 2764142690 4422628304 5528285380 11056570760 22113141520