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22402400022 = 23283149157641
BaseRepresentation
bin10100110111010010…
…010111111100010110
32010211021001211112100
4110313102113330112
5331340003300042
614142545102530
71422103154412
oct246722277426
963737054470
1022402400022
119556630792
124412627a46
132160323b02
1411273abd42
158b1b1824c
hex537497f16

22402400022 has 96 divisors (see below), whose sum is σ = 49845650400. Its totient is φ = 7269949440.

The previous prime is 22402400003. The next prime is 22402400057. The reversal of 22402400022 is 22000420422.

22402400022 is a `hidden beast` number, since 2 + 240 + 2 + 400 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22402399968 and 22402400004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34948822 + ... + 34949462.

It is an arithmetic number, because the mean of its divisors is an integer number (519225525).

Almost surely, 222402400022 is an apocalyptic number.

22402400022 is an abundant number, since it is smaller than the sum of its proper divisors (27443250378).

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

22402400022 is a wasteful number, since it uses less digits than its factorization.

22402400022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22402400022 its reverse (22000420422), we get a palindrome (44402820444).

The spelling of 22402400022 in words is "twenty-two billion, four hundred two million, four hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 18 83 149 157 166 249 298 314 447 471 498 641 747 894 942 1282 1341 1413 1494 1923 2682 2826 3846 5769 11538 12367 13031 23393 24734 26062 37101 39093 46786 53203 70179 74202 78186 95509 100637 106406 111303 117279 140358 159609 191018 201274 210537 222606 234558 286527 301911 319218 421074 478827 573054 603822 859581 905733 957654 1719162 1811466 1941619 3883238 5824857 7927247 8352871 11649714 14994913 15854494 16705742 17474571 23781741 25058613 29989826 34949142 44984739 47563482 50117226 71345223 75175839 89969478 134954217 142690446 150351678 269908434 1244577779 2489155558 3733733337 7467466674 11201200011 22402400022