Search a number
-
+
214160544 = 25331323829
BaseRepresentation
bin11001100001111…
…01010010100000
3112220222111001000
430300331102200
5414311114134
633130112000
75210222523
oct1460752240
9486874030
10214160544
11aa984a94
125b87b600
13354a4820
142062abba
1513c04e99
hexcc3d4a0

214160544 has 192 divisors, whose sum is σ = 702777600. Its totient is φ = 62954496.

The previous prime is 214160539. The next prime is 214160579. The reversal of 214160544 is 445061412.

214160544 is a `hidden beast` number, since 2 + 14 + 1 + 605 + 44 = 666.

214160544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257922 + ... + 258750.

It is an arithmetic number, because the mean of its divisors is an integer number (3660300).

Almost surely, 2214160544 is an apocalyptic number.

214160544 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 214160544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351388800).

214160544 is an abundant number, since it is smaller than the sum of its proper divisors (488617056).

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

214160544 is a wasteful number, since it uses less digits than its factorization.

214160544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 214160544 is about 14634.2250905198. The cubic root of 214160544 is about 598.2919421782.

The spelling of 214160544 in words is "two hundred fourteen million, one hundred sixty thousand, five hundred forty-four".