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22431532112 = 2411716532749
BaseRepresentation
bin10100111001000001…
…100000010001010000
32010220021212220020122
4110321001200101100
5331414433011422
614145505325412
71422605606543
oct247101402120
963807786218
1022431532112
1195710190a0
124420336868
132166383a32
14112b1d285a
158b446ed42
hex539060450

22431532112 has 80 divisors (see below), whose sum is σ = 48171024000. Its totient is φ = 10033497600.

The previous prime is 22431532093. The next prime is 22431532121. The reversal of 22431532112 is 21123513422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8158514 + ... + 8161262.

It is an arithmetic number, because the mean of its divisors is an integer number (602137800).

Almost surely, 222431532112 is an apocalyptic number.

22431532112 is a gapful number since it is divisible by the number (22) 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 22431532112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24085512000).

22431532112 is an abundant number, since it is smaller than the sum of its proper divisors (25739491888).

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

22431532112 is a wasteful number, since it uses less digits than its factorization.

22431532112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3486 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The spelling of 22431532112 in words is "twenty-two billion, four hundred thirty-one million, five hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 653 781 1136 1306 1562 2612 2749 3124 5224 5498 6248 7183 10448 10996 12496 14366 21992 28732 30239 43984 46363 57464 60478 92726 114928 120956 185452 195179 241912 370904 390358 483824 509993 741808 780716 1019986 1561432 1795097 2039972 2146969 3122864 3590194 4079944 4293938 7180388 8159888 8587876 14360776 17175752 19746067 28721552 34351504 39492134 78984268 127451887 157968536 254903774 315937072 509807548 1019615096 1401970757 2039230192 2803941514 5607883028 11215766056 22431532112