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214518824 = 23132062681
BaseRepresentation
bin11001100100101…
…00110000101000
3112221122200111122
430302110300220
5414404100244
633141514412
75213244212
oct1462246050
9487580448
10214518824
111000aa193
125ba12a08
133559b920
14206c15b2
1513c761ee
hexcc94c28

214518824 has 16 divisors (see below), whose sum is σ = 433163220. Its totient is φ = 99008640.

The previous prime is 214518823. The next prime is 214518851. The reversal of 214518824 is 428815412.

It can be written as a sum of positive squares in 2 ways, for example, as 192709924 + 21808900 = 13882^2 + 4670^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (214518823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1031237 + ... + 1031444.

Almost surely, 2214518824 is an apocalyptic number.

It is an amenable number.

214518824 is an abundant number, since it is smaller than the sum of its proper divisors (218644396).

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

214518824 is a wasteful number, since it uses less digits than its factorization.

214518824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062700 (or 2062696 counting only the distinct ones).

The product of its digits is 20480, while the sum is 35.

The square root of 214518824 is about 14646.4611425422. The cubic root of 214518824 is about 598.6253939092.

The spelling of 214518824 in words is "two hundred fourteen million, five hundred eighteen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 2062681 4125362 8250724 16501448 26814853 53629706 107259412 214518824