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22132340322000 = 2435331859713841
BaseRepresentation
bin1010000100001000101100…
…10010000110111011010000
32220100211102211222021111020
411002010112102012323100
510400104013110301000
6115023242355315440
74443003011504346
oct502042622067320
986324384867436
1022132340322000
117063300139567
12259548bbabb80
13c470bc54203c
145672d4d3d996
15285aa63b0ba0
hex142116486ed0

22132340322000 has 320 divisors, whose sum is σ = 73670318512128. Its totient is φ = 5710494720000.

The previous prime is 22132340321989. The next prime is 22132340322013. The reversal of 22132340322000 is 22304323122.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 1599035080 + ... + 1599048920.

Almost surely, 222132340322000 is an apocalyptic number.

22132340322000 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 22132340322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36835159256064).

22132340322000 is an abundant number, since it is smaller than the sum of its proper divisors (51537978190128).

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

22132340322000 is a wasteful number, since it uses less digits than its factorization.

22132340322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22495 (or 22479 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22132340322000 its reverse (22304323122), we get a palindrome (22154644645122).

The spelling of 22132340322000 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred forty million, three hundred twenty-two thousand".