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22204331424 = 2532117008943
BaseRepresentation
bin10100101011011110…
…110011010110100000
32010022110100220111100
4110223132303112200
5330433302101144
614111151514400
71414146463062
oct245336632640
963273326440
1022204331424
119464847930
124378228a00
13212b294962
141108d6d732
1589e541269
hex52b7b35a0

22204331424 has 72 divisors (see below), whose sum is σ = 68883901632. Its totient is φ = 6728584320.

The previous prime is 22204331423. The next prime is 22204331441. The reversal of 22204331424 is 42413340222.

22204331424 is a `hidden beast` number, since 2 + 2 + 204 + 3 + 31 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (22204331423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3501304 + ... + 3507639.

It is an arithmetic number, because the mean of its divisors is an integer number (956720856).

Almost surely, 222204331424 is an apocalyptic number.

22204331424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22204331424 is an abundant number, since it is smaller than the sum of its proper divisors (46679570208).

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

22204331424 is a wasteful number, since it uses less digits than its factorization.

22204331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008970 (or 7008959 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 22204331424 its reverse (42413340222), we get a palindrome (64617671646).

The spelling of 22204331424 in words is "twenty-two billion, two hundred four million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 7008943 14017886 21026829 28035772 42053658 56071544 63080487 77098373 84107316 112143088 126160974 154196746 168214632 224286176 231295119 252321948 308393492 336429264 462590238 504643896 616786984 672858528 693885357 925180476 1009287792 1233573968 1387770714 1850360952 2018575584 2467147936 2775541428 3700721904 5551082856 7401443808 11102165712 22204331424