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22200649092 = 22324759222389
BaseRepresentation
bin10100101011010000…
…110000010110000100
32010022012102211021200
4110223100300112010
5330431331232332
614110540542500
71414103255316
oct245320602604
963265384250
1022200649092
119462762286
124376b51a30
13212a5a586b
1411086917b6
1589e06517c
hex52b430584

22200649092 has 72 divisors (see below), whose sum is σ = 58283971200. Its totient is φ = 7119974208.

The previous prime is 22200649013. The next prime is 22200649103. The reversal of 22200649092 is 29094600222.

It is a happy number.

22200649092 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 0 + 649 + 0 + 9 + 2 = 666.

It is a super-2 number, since 2×222006490922 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11367 + ... + 211022.

It is an arithmetic number, because the mean of its divisors is an integer number (809499600).

Almost surely, 222200649092 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 22200649092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29141985600).

22200649092 is an abundant number, since it is smaller than the sum of its proper divisors (36083322108).

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

22200649092 is a wasteful number, since it uses less digits than its factorization.

22200649092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222505 (or 222500 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 22200649092 in words is "twenty-two billion, two hundred million, six hundred forty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 59 94 118 141 177 188 236 282 354 423 531 564 708 846 1062 1692 2124 2773 5546 8319 11092 16638 24957 33276 49914 99828 222389 444778 667167 889556 1334334 2001501 2668668 4003002 8006004 10452283 13120951 20904566 26241902 31356849 39362853 41809132 52483804 62713698 78725706 94070547 118088559 125427396 157451412 188141094 236177118 376282188 472354236 616684697 1233369394 1850054091 2466738788 3700108182 5550162273 7400216364 11100324546 22200649092