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212148264 = 23367131933
BaseRepresentation
bin11001010010100…
…10000000101000
3112210012020201010
430221102000220
5413302221024
633015023520
75154142026
oct1451220050
9483166633
10212148264
11a9830149
125b06aba0
1334c4b923
1420265716
1513958b29
hexca52028

212148264 has 32 divisors (see below), whose sum is σ = 538290720. Its totient is φ = 69660096.

The previous prime is 212148263. The next prime is 212148289. The reversal of 212148264 is 462841212.

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 (212148263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64359 + ... + 67574.

It is an arithmetic number, because the mean of its divisors is an integer number (16821585).

Almost surely, 2212148264 is an apocalyptic number.

212148264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212148264 is an abundant number, since it is smaller than the sum of its proper divisors (326142456).

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

212148264 is a wasteful number, since it uses less digits than its factorization.

212148264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132009 (or 132005 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 212148264 is about 14565.3102953559. The cubic root of 212148264 is about 596.4121662901.

Adding to 212148264 its reverse (462841212), we get a palindrome (674989476).

The spelling of 212148264 in words is "two hundred twelve million, one hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 131933 263866 395799 527732 791598 1055464 1583196 3166392 8839511 17679022 26518533 35358044 53037066 70716088 106074132 212148264