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214927944 = 233711297109
BaseRepresentation
bin11001100111110…
…00101001001000
3112222102110201020
430303320221020
5420010143234
633154352440
75216600040
oct1463705110
9488373636
10214927944
11100359600
125bb8b720
13356b2bca
142078a720
1513d07549
hexccf8a48

214927944 has 192 divisors, whose sum is σ = 688195200. Its totient is φ = 54743040.

The previous prime is 214927927. The next prime is 214927963. The reversal of 214927944 is 449729412.

It is a super-2 number, since 2×2149279442 = 92388042224134272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 214927896 and 214927905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1971762 + ... + 1971870.

It is an arithmetic number, because the mean of its divisors is an integer number (3584350).

Almost surely, 2214927944 is an apocalyptic number.

214927944 is a gapful number since it is divisible by the number (24) 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 214927944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344097600).

214927944 is an abundant number, since it is smaller than the sum of its proper divisors (473267256).

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

214927944 is a wasteful number, since it uses less digits than its factorization.

214927944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 214927944 is about 14660.4210035046. The cubic root of 214927944 is about 599.0057087740.

The spelling of 214927944 in words is "two hundred fourteen million, nine hundred twenty-seven thousand, nine hundred forty-four".