Search a number
-
+
22206245620 = 22513232161453
BaseRepresentation
bin10100101011100110…
…000110101011110100
32010022120222011021111
4110223212012223310
5330434244324440
614111300524404
71414201654606
oct245346065364
963276864244
1022206245620
119465935009
1243789b0704
13212b7b5010
14110930b176
1589e7bd4ea
hex52b986af4

22206245620 has 72 divisors (see below), whose sum is σ = 52499028456. Its totient is φ = 7842692352.

The previous prime is 22206245561. The next prime is 22206245629. The reversal of 22206245620 is 2654260222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2817911056 + 19388334564 = 53084^2 + 139242^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22206245629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56814 + ... + 218266.

It is an arithmetic number, because the mean of its divisors is an integer number (729153173).

Almost surely, 222206245620 is an apocalyptic number.

22206245620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22206245620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26249514228).

22206245620 is an abundant number, since it is smaller than the sum of its proper divisors (30292782836).

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

22206245620 is a wasteful number, since it uses less digits than its factorization.

22206245620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161521 (or 161496 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 22206245620 in words is "twenty-two billion, two hundred six million, two hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 529 598 1058 1196 1495 2116 2645 2990 5290 5980 6877 10580 13754 27508 34385 68770 137540 161453 322906 645812 807265 1614530 2098889 3229060 3713419 4197778 7426838 8395556 10494445 14853676 18567095 20988890 37134190 41977780 48274447 74268380 85408637 96548894 170817274 193097788 241372235 341634548 427043185 482744470 854086370 965488940 1110312281 1708172740 2220624562 4441249124 5551561405 11103122810 22206245620