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22242040212 = 22372712272347
BaseRepresentation
bin10100101101101110…
…101001100110010100
32010102002022201020010
4110231232221212110
5331022430241322
614115020040220
71415115136200
oct245556514624
963362281203
1022242040212
119484063017
124388993070
132136038652
14110dd87b00
158a29de20c
hex52dba9994

22242040212 has 144 divisors (see below), whose sum is σ = 61517449728. Its totient is φ = 6235104960.

The previous prime is 22242040201. The next prime is 22242040213. The reversal of 22242040212 is 21204024222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22242040213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9475623 + ... + 9477969.

It is an arithmetic number, because the mean of its divisors is an integer number (427204512).

Almost surely, 222242040212 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 22242040212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30758724864).

22242040212 is an abundant number, since it is smaller than the sum of its proper divisors (39275409516).

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

22242040212 is a wasteful number, since it uses less digits than its factorization.

22242040212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2666 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 22242040212 its reverse (21204024222), we get a palindrome (43446064434).

The spelling of 22242040212 in words is "twenty-two billion, two hundred forty-two million, forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 227 284 294 426 454 497 588 681 852 908 994 1362 1491 1589 1988 2347 2724 2982 3178 3479 4694 4767 5964 6356 6958 7041 9388 9534 10437 11123 13916 14082 16117 16429 19068 20874 22246 28164 32234 32858 33369 41748 44492 48351 49287 64468 65716 66738 96702 98574 112819 115003 133476 166637 193404 197148 225638 230006 333274 338457 345009 451276 460012 499911 532769 666548 676914 690018 789733 999822 1065538 1166459 1353828 1380036 1579466 1598307 1999644 2131076 2332918 2369199 3158932 3196614 3499377 3729383 4665836 4738398 6393228 6998754 7458766 8165213 9476796 11188149 13997508 14917532 16330426 22376298 24495639 26105681 32660852 37826599 44752596 48991278 52211362 75653198 78317043 97982556 104422724 113479797 151306396 156634086 226959594 264786193 313268172 453919188 529572386 794358579 1059144772 1588717158 1853503351 3177434316 3707006702 5560510053 7414013404 11121020106 22242040212