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212731520 = 275332393
BaseRepresentation
bin11001010111000…
…00011010000000
3112211021212210012
430223200122000
5413424402040
633035324052
75162121341
oct1453403200
9484255705
10212731520
11aa099381
125b2b0628
13350c4251
14203780c8
1513a21865
hexcae0680

212731520 has 32 divisors (see below), whose sum is σ = 508562820. Its totient is φ = 85092352.

The previous prime is 212731511. The next prime is 212731529. The reversal of 212731520 is 25137212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212731511) and next prime (212731529).

It can be written as a sum of positive squares in 2 ways, for example, as 200732224 + 11999296 = 14168^2 + 3464^2 .

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 (212731529) 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, 165557 + ... + 166836.

Almost surely, 2212731520 is an apocalyptic number.

212731520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212731520 is an abundant number, since it is smaller than the sum of its proper divisors (295831300).

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

212731520 is an equidigital number, since it uses as much as digits as its factorization.

212731520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332412 (or 332400 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 212731520 is about 14585.3186458164. The cubic root of 212731520 is about 596.9582351325.

Adding to 212731520 its reverse (25137212), we get a palindrome (237868732).

The spelling of 212731520 in words is "two hundred twelve million, seven hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 332393 664786 1329572 1661965 2659144 3323930 5318288 6647860 10636576 13295720 21273152 26591440 42546304 53182880 106365760 212731520