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12222814464 = 2835728069
BaseRepresentation
bin10110110001000100…
…10101100100000000
31011112211101022100000
423120202111210000
5200013020030324
65340505200000
7611615131410
oct133042254400
934484338300
1012222814464
115202507463
122451490000
1311ca3792c3
1483d45c640
154b80d49c9
hex2d8895900

12222814464 has 216 divisors, whose sum is σ = 41769058240. Its totient is φ = 3492108288.

The previous prime is 12222814453. The next prime is 12222814531. The reversal of 12222814464 is 46441822221.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421422 + ... + 449490.

Almost surely, 212222814464 is an apocalyptic number.

12222814464 is a gapful number since it is divisible by the number (14) 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 12222814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20884529120).

12222814464 is an abundant number, since it is smaller than the sum of its proper divisors (29546243776).

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

12222814464 is an frugal number, since it uses more digits than its factorization.

12222814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28107 (or 28081 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The spelling of 12222814464 in words is "twelve billion, two hundred twenty-two million, eight hundred fourteen thousand, four hundred sixty-four".