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212970537 = 32131820261
BaseRepresentation
bin11001011000110…
…10110000101001
3112211202000122200
430230122300221
5414010024122
633044410413
75164135233
oct1454326051
9484660580
10212970537
11aa241a0a
125b3a6a09
1335178c90
14203db253
1513a6c5ac
hexcb1ac29

212970537 has 12 divisors (see below), whose sum is σ = 331287684. Its totient is φ = 131058720.

The previous prime is 212970517. The next prime is 212970559. The reversal of 212970537 is 735079212.

It can be written as a sum of positive squares in 2 ways, for example, as 131537961 + 81432576 = 11469^2 + 9024^2 .

It is not a de Polignac number, because 212970537 - 210 = 212969513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212970517) 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, 910014 + ... + 910247.

It is an arithmetic number, because the mean of its divisors is an integer number (27607307).

Almost surely, 2212970537 is an apocalyptic number.

It is an amenable number.

212970537 is a deficient number, since it is larger than the sum of its proper divisors (118317147).

212970537 is a wasteful number, since it uses less digits than its factorization.

212970537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820280 (or 1820277 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 212970537 is about 14593.5100986706. The cubic root of 212970537 is about 597.1817245995.

The spelling of 212970537 in words is "two hundred twelve million, nine hundred seventy thousand, five hundred thirty-seven".

Divisors: 1 3 9 13 39 117 1820261 5460783 16382349 23663393 70990179 212970537