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22344400134 = 23272233732953
BaseRepresentation
bin10100110011110101…
…000111110100000110
32010200012221010122100
4110303311013310012
5331230131301014
614133114012530
71420500160500
oct246365076406
963605833570
1022344400134
1195269165a1
1243b7117146
1321512c7354
14111d7d0d70
158ab9ad009
hex533d47d06

22344400134 has 144 divisors (see below), whose sum is σ = 58943076192. Its totient is φ = 6088110336.

The previous prime is 22344400097. The next prime is 22344400189. The reversal of 22344400134 is 43100444322.

It is a happy number.

22344400134 is a `hidden beast` number, since 223 + 4 + 4 + 400 + 1 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22344400098 and 22344400107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7565202 + ... + 7568154.

It is an arithmetic number, because the mean of its divisors is an integer number (409326918).

Almost surely, 222344400134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22344400134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29471538096).

22344400134 is an abundant number, since it is smaller than the sum of its proper divisors (36598676058).

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

22344400134 is a wasteful number, since it uses less digits than its factorization.

22344400134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3371 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22344400134 its reverse (43100444322), we get a palindrome (65444844456).

The spelling of 22344400134 in words is "twenty-two billion, three hundred forty-four million, four hundred thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 373 414 441 483 746 882 966 1119 1127 1449 2238 2254 2611 2898 2953 3357 3381 5222 5906 6714 6762 7833 8579 8859 10143 15666 17158 17718 18277 20286 20671 23499 25737 26577 36554 41342 46998 51474 53154 54831 60053 62013 67919 77211 109662 120106 124026 135838 144697 154422 164493 180159 186039 203757 289394 328986 360318 372078 407514 420371 434091 475433 540477 611271 840742 868182 950866 1080954 1101469 1222542 1261113 1302273 1426299 2202938 2522226 2604546 2852598 3304407 3328031 3783339 4278897 6608814 6656062 7566678 7710283 8557794 9913221 9984093 15420566 19826442 19968186 23130849 25333787 29952279 46261698 50667574 53971981 59904558 69392547 76001361 107943962 138785094 152002722 161915943 177336509 228004083 323831886 354673018 456008166 485747829 532009527 971495658 1064019054 1241355563 1596028581 2482711126 3192057162 3724066689 7448133378 11172200067 22344400134