Search a number
-
+
22055610528 = 253471215587
BaseRepresentation
bin10100100010100111…
…011110100010100000
32002221002112002210000
4110202213132202200
5330132214014103
614044320140000
71410362411340
oct244247364240
962832462700
1022055610528
1193988a96a6
124336467600
132106523023
1410d32d8d20
15891465aa3
hex5229de8a0

22055610528 has 120 divisors (see below), whose sum is σ = 74131418592. Its totient is φ = 6301597824.

The previous prime is 22055610527. The next prime is 22055610529. The reversal of 22055610528 is 82501655022.

It is a happy number.

22055610528 is a `hidden beast` number, since 2 + 20 + 55 + 61 + 0 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (22055610527) and next prime (22055610529).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22055610492 and 22055610501.

It is not an unprimeable number, because it can be changed into a prime (22055610527) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 589650 + ... + 625937.

Almost surely, 222055610528 is an apocalyptic number.

22055610528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22055610528 is an abundant number, since it is smaller than the sum of its proper divisors (52075808064).

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

22055610528 is a wasteful number, since it uses less digits than its factorization.

22055610528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215616 (or 1215599 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 22055610528 in words is "twenty-two billion, fifty-five million, six hundred ten thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 1215587 2431174 3646761 4862348 7293522 8509109 9724696 10940283 14587044 17018218 19449392 21880566 25527327 29174088 32820849 34036436 38898784 43761132 51054654 58348176 65641698 68072872 76581981 87522264 98462547 102109308 116696352 131283396 136145744 153163962 175044528 196925094 204218616 229745943 262566792 272291488 306327924 350089056 393850188 408437232 459491886 525133584 612655848 689237829 787700376 816874464 918983772 1050267168 1225311696 1378475658 1575400752 1837967544 2450623392 2756951316 3150801504 3675935088 5513902632 7351870176 11027805264 22055610528