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212224026852 = 223216735300071
BaseRepresentation
bin1100010110100110001…
…0011010100011100100
3202021210020221120220200
43011221202122203210
511434113322324402
6241254441230500
721222052315155
oct3055142324344
9667706846820
10212224026852
1182004a26532
1235169492430
1317021a01266
14a3b377792c
1557c16e821c
hex316989a8e4

212224026852 has 36 divisors (see below), whose sum is σ = 539667500736. Its totient is φ = 70317739440.

The previous prime is 212224026851. The next prime is 212224026853. The reversal of 212224026852 is 258620422212.

212224026852 is a `hidden beast` number, since 21 + 222 + 402 + 6 + 8 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (212224026851) and next prime (212224026853).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212224026851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17644024 + ... + 17656047.

Almost surely, 2212224026852 is an apocalyptic number.

It is an amenable number.

212224026852 is an abundant number, since it is smaller than the sum of its proper divisors (327443473884).

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

212224026852 is a wasteful number, since it uses less digits than its factorization.

212224026852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35300248 (or 35300243 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 212224026852 in words is "two hundred twelve billion, two hundred twenty-four million, twenty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 501 668 1002 1503 2004 3006 6012 35300071 70600142 105900213 141200284 211800426 317700639 423600852 635401278 1270802556 5895111857 11790223714 17685335571 23580447428 35370671142 53056006713 70741342284 106112013426 212224026852