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212750964 = 22325909749
BaseRepresentation
bin11001010111001…
…01001001110100
3112211022212110100
430223211021310
5413431012324
633035554100
75162232126
oct1453451164
9484285410
10212750964
11aa101a48
125b2bb930
133510005a
1420381216
1513a274c9
hexcae5274

212750964 has 18 divisors (see below), whose sum is σ = 537787250. Its totient is φ = 70916976.

The previous prime is 212750959. The next prime is 212750969. The reversal of 212750964 is 469057212.

212750964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212750959) and next prime (212750969).

It can be written as a sum of positive squares in only one way, i.e., 156050064 + 56700900 = 12492^2 + 7530^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 5909749 = 212750964 / (2 + 1 + 2 + 7 + 5 + 0 + 9 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212750969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2954839 + ... + 2954910.

Almost surely, 2212750964 is an apocalyptic number.

It is an amenable number.

212750964 is an abundant number, since it is smaller than the sum of its proper divisors (325036286).

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

212750964 is a wasteful number, since it uses less digits than its factorization.

212750964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909759 (or 5909754 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 212750964 is about 14585.9851912718. The cubic root of 212750964 is about 596.9764222231.

The spelling of 212750964 in words is "two hundred twelve million, seven hundred fifty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 5909749 11819498 17729247 23638996 35458494 53187741 70916988 106375482 212750964