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22211112112 = 247616748523
BaseRepresentation
bin10100101011111000…
…101010110010110000
32010022221010101211221
4110223320222302300
5330442021041422
614111553114424
71414261223620
oct245370526260
963287111757
1022211112112
119468659302
12437a558a14
13212c7ca0b7
141109c16880
1589ee303c7
hex52be2acb0

22211112112 has 80 divisors (see below), whose sum is σ = 50735141632. Its totient is φ = 9223061760.

The previous prime is 22211112067. The next prime is 22211112149. The reversal of 22211112112 is 21121111222.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433483 + ... + 482005.

Almost surely, 222211112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22211112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367570816).

22211112112 is an abundant number, since it is smaller than the sum of its proper divisors (28524029520).

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

22211112112 is a wasteful number, since it uses less digits than its factorization.

22211112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48666 (or 48660 counting only the distinct ones).

The product of its digits is 32, while the sum is 16.

Adding to 22211112112 its reverse (21121111222), we get a palindrome (43332223334).

The spelling of 22211112112 in words is "twenty-two billion, two hundred eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 61 67 112 122 134 244 268 427 469 488 536 854 938 976 1072 1708 1876 3416 3752 4087 6832 7504 8174 16348 28609 32696 48523 57218 65392 97046 114436 194092 228872 339661 388184 457744 679322 776368 1358644 2717288 2959903 3251041 5434576 5919806 6502082 11839612 13004164 20719321 22757287 23679224 26008328 41438642 45514574 47358448 52016656 82877284 91029148 165754568 182058296 198313501 331509136 364116592 396627002 793254004 1388194507 1586508008 2776389014 3173016016 5552778028 11105556056 22211112112