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22133242304424 = 23321718082714301
BaseRepresentation
bin1010000100001010011000…
…00010111001011110101000
32220100220202201012201202200
411002011030002321132220
510400112340012220144
6115023512100100200
74443034243310616
oct502051402713650
986326681181680
1022133242304424
1170637232a5289
1225956a2094660
13c47204380b54
1456737ca546b6
15285b0a67ec69
hex14214c0b97a8

22133242304424 has 48 divisors (see below), whose sum is σ = 63470327200020. Its totient is φ = 6943762291200.

The previous prime is 22133242304413. The next prime is 22133242304429. The reversal of 22133242304424 is 42440324233122.

22133242304424 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 324 + 2 + 304 + 4 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21445142192100 + 688100112324 = 4630890^2 + 829518^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22133242304429) 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, 9041355927 + ... + 9041358374.

Almost surely, 222133242304424 is an apocalyptic number.

22133242304424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22133242304424 is an abundant number, since it is smaller than the sum of its proper divisors (41337084895596).

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

22133242304424 is a wasteful number, since it uses less digits than its factorization.

22133242304424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18082714330 (or 18082714323 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 22133242304424 its reverse (42440324233122), we get a palindrome (64573566537546).

The spelling of 22133242304424 in words is "twenty-two trillion, one hundred thirty-three billion, two hundred forty-two million, three hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 18082714301 36165428602 54248142903 72330857204 108496285806 144661714408 162744428709 216992571612 307406143117 325488857418 433985143224 614812286234 650977714836 922218429351 1229624572468 1301955429672 1844436858702 2459249144936 2766655288053 3688873717404 5533310576106 7377747434808 11066621152212 22133242304424