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22279480434 = 234296916863
BaseRepresentation
bin10100101111111101…
…011110010001110010
32010111200202212120000
4110233331132101302
5331112021333214
614122434330430
71416051313311
oct245775362162
963450685500
1022279480434
1194a3205452
124399429a16
132140a17023
141114d32278
158a5e37809
hex52ff5e472

22279480434 has 80 divisors (see below), whose sum is σ = 51726280320. Its totient is φ = 7158987360.

The previous prime is 22279480417. The next prime is 22279480439. The reversal of 22279480434 is 43408497222.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22279480434.

It is not an unprimeable number, because it can be changed into a prime (22279480439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3242887 + ... + 3249749.

It is an arithmetic number, because the mean of its divisors is an integer number (646578504).

Almost surely, 222279480434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22279480434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25863140160).

22279480434 is an abundant number, since it is smaller than the sum of its proper divisors (29446799886).

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

22279480434 is a wasteful number, since it uses less digits than its factorization.

22279480434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7597 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 22279480434 in words is "twenty-two billion, two hundred seventy-nine million, four hundred eighty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 691 783 1382 1566 2073 2349 4146 4698 6219 6863 12438 13726 18657 20039 20589 37314 40078 41178 55971 60117 61767 111942 120234 123534 180351 185301 199027 360702 370602 398054 541053 555903 597081 1082106 1111806 1194162 1623159 1791243 3246318 3582486 4742333 5373729 9484666 10747458 14226999 16121187 28453998 32242374 42680997 85361994 128042991 137527657 256085982 275055314 384128973 412582971 768257946 825165942 1237748913 2475497826 3713246739 7426493478 11139740217 22279480434