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22220002112 = 2671116972657
BaseRepresentation
bin10100101100011010…
…100101001101000000
32010100112212001122012
4110230122211031000
5331001310031422
614112511432052
71414426621160
oct245432451500
963315761565
1022220002112
119472680510
124381525628
1321315c0659
14110b08c5a0
158a0ad94e2
hex52c6a5340

22220002112 has 112 divisors (see below), whose sum is σ = 55025958528. Its totient is φ = 8648785920.

The previous prime is 22220002093. The next prime is 22220002171. The reversal of 22220002112 is 21120002222.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8361488 + ... + 8364144.

Almost surely, 222220002112 is an apocalyptic number.

22220002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22220002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27512979264).

22220002112 is an abundant number, since it is smaller than the sum of its proper divisors (32805956416).

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

22220002112 is a wasteful number, since it uses less digits than its factorization.

22220002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22220002112 its reverse (21120002222), we get a palindrome (43340004334).

The spelling of 22220002112 in words is "twenty-two billion, two hundred twenty million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 1697 2464 2657 3394 4928 5314 6788 10628 11879 13576 18599 18667 21256 23758 27152 29227 37198 37334 42512 47516 54304 58454 74396 74668 85024 95032 108608 116908 130669 148792 149336 170048 190064 204589 233816 261338 297584 298672 380128 409178 467632 522676 595168 597344 760256 818356 935264 1045352 1190336 1194688 1636712 1870528 2090704 3273424 4181408 4508929 6546848 8362816 9017858 13093696 18035716 31562503 36071432 49598219 63125006 72142864 99196438 126250012 144285728 198392876 252500024 288571456 347187533 396785752 505000048 694375066 793571504 1010000096 1388750132 1587143008 2020000192 2777500264 3174286016 5555000528 11110001056 22220002112