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22666214340 = 2233571123137173
BaseRepresentation
bin10101000111000000…
…101111101111000100
32011111122110222202000
4111013000233233010
5332410022324330
614225051345300
71431455433360
oct250700575704
964448428660
1022666214340
11968153a350
124486a52230
1321a2b92263
1411504422a0
158c9d7a560
hex54702fbc4

22666214340 has 768 divisors, whose sum is σ = 92943728640. Its totient is φ = 4446351360.

The previous prime is 22666214339. The next prime is 22666214381. The reversal of 22666214340 is 4341266622.

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

It is a junction number, because it is equal to n+sod(n) for n = 22666214295 and 22666214304.

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 255 ways as a sum of consecutive naturals, for example, 131018494 + ... + 131018666.

It is an arithmetic number, because the mean of its divisors is an integer number (121020480).

Almost surely, 222666214340 is an apocalyptic number.

22666214340 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 22666214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46471864320).

22666214340 is an abundant number, since it is smaller than the sum of its proper divisors (70277514300).

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

22666214340 is a wasteful number, since it uses less digits than its factorization.

22666214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 22666214340 in words is "twenty-two billion, six hundred sixty-six million, two hundred fourteen thousand, three hundred forty".