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214818912 = 25337113229
BaseRepresentation
bin11001100110111…
…10000001100000
3112222012221011000
430303132001200
5414443201122
633152152000
75215634130
oct1463360140
9488187130
10214818912
111002946a0
125bb38600
13356753a9
142075cac0
1513cd50ac
hexccde060

214818912 has 192 divisors, whose sum is σ = 781401600. Its totient is φ = 55779840.

The previous prime is 214818907. The next prime is 214818913. The reversal of 214818912 is 219818412.

It is a happy number.

It is a super-2 number, since 2×2148189122 = 92294329905727488, which 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214818913) 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, 64914 + ... + 68142.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2214818912 is an apocalyptic number.

214818912 is a gapful number since it is divisible by the number (22) 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 214818912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390700800).

214818912 is an abundant number, since it is smaller than the sum of its proper divisors (566582688).

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

214818912 is a wasteful number, since it uses less digits than its factorization.

214818912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3252 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 214818912 is about 14656.7019482556. The cubic root of 214818912 is about 598.9044006545.

The spelling of 214818912 in words is "two hundred fourteen million, eight hundred eighteen thousand, nine hundred twelve".