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12214716192 = 253375934231
BaseRepresentation
bin10110110000000110…
…11100011100100000
31011112021010212121000
423120003130130200
5200003431404232
65340015432000
7611456242320
oct133003343440
934467125530
1012214716192
1151a8986078
12244a825600
1311c87a2223
1483c351280
154b753527c
hex2d80dc720

12214716192 has 192 divisors, whose sum is σ = 41407027200. Its totient is φ = 3430667520.

The previous prime is 12214716149. The next prime is 12214716197. The reversal of 12214716192 is 29161741221.

12214716192 is a `hidden beast` number, since 1 + 22 + 14 + 7 + 1 + 619 + 2 = 666.

It is a super-2 number, since 2×122147161922 (a number of 21 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (12214716197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339717 + ... + 373947.

It is an arithmetic number, because the mean of its divisors is an integer number (215661600).

Almost surely, 212214716192 is an apocalyptic number.

12214716192 is a gapful number since it is divisible by the number (12) 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 12214716192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20703513600).

12214716192 is an abundant number, since it is smaller than the sum of its proper divisors (29192311008).

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

12214716192 is a wasteful number, since it uses less digits than its factorization.

12214716192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34316 (or 34302 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The spelling of 12214716192 in words is "twelve billion, two hundred fourteen million, seven hundred sixteen thousand, one hundred ninety-two".