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212613480 = 23325590593
BaseRepresentation
bin11001010110000…
…11100101101000
3112211001212212100
430223003211220
5413412112410
633033013400
75161120242
oct1453034550
9484055770
10212613480
11aa018722
125b254260
13350825c1
1420347092
15139eb8c0
hexcac3968

212613480 has 48 divisors (see below), whose sum is σ = 690994980. Its totient is φ = 56696832.

The previous prime is 212613473. The next prime is 212613481. The reversal of 212613480 is 84316212.

212613480 is a `hidden beast` number, since 2 + 1 + 2 + 613 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198640836 + 13972644 = 14094^2 + 3738^2 .

It is not an unprimeable number, because it can be changed into a prime (212613481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294937 + ... + 295656.

Almost surely, 2212613480 is an apocalyptic number.

212613480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212613480 is an abundant number, since it is smaller than the sum of its proper divisors (478381500).

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

212613480 is a wasteful number, since it uses less digits than its factorization.

212613480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590610 (or 590603 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 212613480 is about 14581.2715494911. The cubic root of 212613480 is about 596.8478017449.

Adding to 212613480 its reverse (84316212), we get a palindrome (296929692).

The spelling of 212613480 in words is "two hundred twelve million, six hundred thirteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 590593 1181186 1771779 2362372 2952965 3543558 4724744 5315337 5905930 7087116 8858895 10630674 11811860 14174232 17717790 21261348 23623720 26576685 35435580 42522696 53153370 70871160 106306740 212613480