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212528070 = 23353112531
BaseRepresentation
bin11001010101011…
…10101111000110
3112210220112201000
430222232233012
5413401344240
633031114130
75160313236
oct1452565706
9483815630
10212528070
11a9a6a537
125b212946
1335052771
1420323cc6
15139d1430
hexcaaebc6

212528070 has 64 divisors (see below), whose sum is σ = 568788480. Its totient is φ = 56469600.

The previous prime is 212528021. The next prime is 212528077. The reversal of 212528070 is 70825212.

212528070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212528077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82705 + ... + 85235.

It is an arithmetic number, because the mean of its divisors is an integer number (8887320).

Almost surely, 2212528070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212528070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284394240).

212528070 is an abundant number, since it is smaller than the sum of its proper divisors (356260410).

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

212528070 is a wasteful number, since it uses less digits than its factorization.

212528070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 212528070 is about 14578.3424983775. The cubic root of 212528070 is about 596.7678701583.

The spelling of 212528070 in words is "two hundred twelve million, five hundred twenty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 311 622 933 1555 1866 2531 2799 3110 4665 5062 5598 7593 8397 9330 12655 13995 15186 16794 22779 25310 27990 37965 41985 45558 68337 75930 83970 113895 136674 227790 341685 683370 787141 1574282 2361423 3935705 4722846 7084269 7871410 11807115 14168538 21252807 23614230 35421345 42505614 70842690 106264035 212528070