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22021122112 = 2611101337919
BaseRepresentation
bin10100100000100011…
…111010100001000000
32002211200121220120021
4110200203322201000
5330044401401422
614041045023224
71406463310123
oct244043724100
962750556507
1022021122112
119380392a80
1243269b4b14
1320cc339092
1410cc8bc3ba
1588d401dc7
hex5208fa840

22021122112 has 112 divisors (see below), whose sum is σ = 48338110080. Its totient is φ = 9870336000.

The previous prime is 22021122083. The next prime is 22021122119. The reversal of 22021122112 is 21122112022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22021122119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23961589 + ... + 23962507.

Almost surely, 222021122112 is an apocalyptic number.

22021122112 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 22021122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24169055040).

22021122112 is an abundant number, since it is smaller than the sum of its proper divisors (26316987968).

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

22021122112 is a wasteful number, since it uses less digits than its factorization.

22021122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22021122112 its reverse (21122112022), we get a palindrome (43143234134).

The spelling of 22021122112 in words is "twenty-two billion, twenty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 176 202 337 352 404 674 704 808 919 1111 1348 1616 1838 2222 2696 3232 3676 3707 4444 5392 6464 7352 7414 8888 10109 10784 14704 14828 17776 20218 21568 29408 29656 34037 35552 40436 58816 59312 68074 71104 80872 92819 118624 136148 161744 185638 237248 272296 309703 323488 371276 374407 544592 619406 646976 742552 748814 1021009 1089184 1238812 1485104 1497628 2042018 2178368 2477624 2970208 2995256 3406733 4084036 4955248 5940416 5990512 6813466 8168072 9910496 11981024 13626932 16336144 19820992 23962048 27253864 31280003 32672288 54507728 62560006 65344576 109015456 125120012 218030912 250240024 344080033 500480048 688160066 1000960096 1376320132 2001920192 2752640264 5505280528 11010561056 22021122112