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212232320 = 275331613
BaseRepresentation
bin11001010011001…
…10100010000000
3112210100112000022
430221212202000
5413312413240
633020513012
75154642056
oct1451464200
9483315008
10212232320
11a9888313
125b0ab768
1334c7ac71
14202881d6
15139739b5
hexca66880

212232320 has 32 divisors (see below), whose sum is σ = 507369420. Its totient is φ = 84892672.

The previous prime is 212232311. The next prime is 212232329. The reversal of 212232320 is 23232212.

It is an interprime number because it is at equal distance from previous prime (212232311) and next prime (212232329).

It can be written as a sum of positive squares in 2 ways, for example, as 211295296 + 937024 = 14536^2 + 968^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (212232329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165167 + ... + 166446.

Almost surely, 2212232320 is an apocalyptic number.

212232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212232320 is an abundant number, since it is smaller than the sum of its proper divisors (295137100).

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

212232320 is an equidigital number, since it uses as much as digits as its factorization.

212232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331632 (or 331620 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 212232320 is about 14568.1954956680. The cubic root of 212232320 is about 596.4909247341.

Adding to 212232320 its reverse (23232212), we get a palindrome (235464532).

The spelling of 212232320 in words is "two hundred twelve million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 331613 663226 1326452 1658065 2652904 3316130 5305808 6632260 10611616 13264520 21223232 26529040 42446464 53058080 106116160 212232320