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14564222640 = 24325113175801
BaseRepresentation
bin11011001000001100…
…00110011010110000
31101121000011011112100
431210012012122300
5214311420111030
610405105500400
71023625564332
oct154406063260
941530134470
1014564222640
1161a4140040
1229a5641700
1314b148bc26
149c23c9452
155a3935360
hex3641866b0

14564222640 has 240 divisors, whose sum is σ = 53535564576. Its totient is φ = 3518976000.

The previous prime is 14564222597. The next prime is 14564222641. The reversal of 14564222640 is 4622246541.

14564222640 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 4 + 2 + 2 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×145642226402 (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 junction number, because it is equal to n+sod(n) for n = 14564222595 and 14564222604.

It is not an unprimeable number, because it can be changed into a prime (14564222641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507740 + ... + 2513540.

Almost surely, 214564222640 is an apocalyptic number.

14564222640 is a gapful number since it is divisible by the number (10) 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 14564222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26767782288).

14564222640 is an abundant number, since it is smaller than the sum of its proper divisors (38971341936).

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

14564222640 is a wasteful number, since it uses less digits than its factorization.

14564222640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 14564222640 in words is "fourteen billion, five hundred sixty-four million, two hundred twenty-two thousand, six hundred forty".