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212232264 = 2338843011
BaseRepresentation
bin11001010011001…
…10100001001000
3112210100111221020
430221212201020
5413312413024
633020512440
75154641646
oct1451464110
9483314836
10212232264
11a9888272
125b0ab720
1334c7ac2a
1420288196
1513973979
hexca66848

212232264 has 16 divisors (see below), whose sum is σ = 530580720. Its totient is φ = 70744080.

The previous prime is 212232227. The next prime is 212232269. The reversal of 212232264 is 462232212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8843011 = 212232264 / (2 + 1 + 2 + 2 + 3 + 2 + 2 + 6 + 4).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212232269) 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, 4421482 + ... + 4421529.

It is an arithmetic number, because the mean of its divisors is an integer number (33161295).

Almost surely, 2212232264 is an apocalyptic number.

212232264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212232264 is an abundant number, since it is smaller than the sum of its proper divisors (318348456).

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

212232264 is a wasteful number, since it uses less digits than its factorization.

212232264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8843020 (or 8843016 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 212232264 is about 14568.1935736727. The cubic root of 212232264 is about 596.4908722703.

Adding to 212232264 its reverse (462232212), we get a palindrome (674464476).

The spelling of 212232264 in words is "two hundred twelve million, two hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 8843011 17686022 26529033 35372044 53058066 70744088 106116132 212232264