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22204022240 = 255592519371
BaseRepresentation
bin10100101011011101…
…100111110111100000
32010022102210012101002
4110223131213313200
5330433212202430
614111141131132
71414144034501
oct245335476740
963272705332
1022204022240
119464656604
1243780b9aa8
13212b1b6cca
141108cccba8
1589e4ce845
hex52b767de0

22204022240 has 96 divisors (see below), whose sum is σ = 53564353920. Its totient is φ = 8695360000.

The previous prime is 22204022237. The next prime is 22204022249. The reversal of 22204022240 is 4222040222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22204022249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2364755 + ... + 2374125.

It is an arithmetic number, because the mean of its divisors is an integer number (557962020).

Almost surely, 222204022240 is an apocalyptic number.

22204022240 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 22204022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26782176960).

22204022240 is an abundant number, since it is smaller than the sum of its proper divisors (31360331680).

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

22204022240 is a wasteful number, since it uses less digits than its factorization.

22204022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9696 (or 9688 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22204022240 its reverse (4222040222), we get a palindrome (26426062462).

The spelling of 22204022240 in words is "twenty-two billion, two hundred four million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 251 295 472 502 590 944 1004 1180 1255 1888 2008 2360 2510 4016 4720 5020 8032 9371 9440 10040 14809 18742 20080 29618 37484 40160 46855 59236 74045 74968 93710 118472 148090 149936 187420 236944 296180 299872 374840 473888 552889 592360 749680 1105778 1184720 1499360 2211556 2352121 2369440 2764445 4423112 4704242 5528890 8846224 9408484 11057780 11760605 17692448 18816968 22115560 23521210 37633936 44231120 47042420 75267872 88462240 94084840 138775139 188169680 277550278 376339360 555100556 693875695 1110201112 1387751390 2220402224 2775502780 4440804448 5551005560 11102011120 22204022240