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22132213104 = 243597815047
BaseRepresentation
bin10100100111001011…
…101100010101110000
32010010102122220202110
4110213023230111300
5330311321304404
614100054045320
71412312464431
oct244713542560
963112586673
1022132213104
11942806a311
124358049840
132119363bb1
1410dd559488
15898047b89
hex5272ec570

22132213104 has 40 divisors (see below), whose sum is σ = 58143957120. Its totient is φ = 7252362688.

The previous prime is 22132213009. The next prime is 22132213121. The reversal of 22132213104 is 40131223122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3904692 + ... + 3910355.

It is an arithmetic number, because the mean of its divisors is an integer number (1453598928).

Almost surely, 222132213104 is an apocalyptic number.

22132213104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22132213104 is an abundant number, since it is smaller than the sum of its proper divisors (36011744016).

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

22132213104 is a wasteful number, since it uses less digits than its factorization.

22132213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815117 (or 7815111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22132213104 its reverse (40131223122), we get a palindrome (62263436226).

The spelling of 22132213104 in words is "twenty-two billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 7815047 15630094 23445141 31260188 46890282 62520376 93780564 125040752 187561128 375122256 461087773 922175546 1383263319 1844351092 2766526638 3688702184 5533053276 7377404368 11066106552 22132213104