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212021988 = 223193741613
BaseRepresentation
bin11001010001100…
…11001011100100
3112202221211111020
430220303023210
5413234200423
633012211140
75153104623
oct1450631344
9482854436
10212021988
11a9754292
125b009ab0
1334c062c9
14202316ba
15139314e3
hexca332e4

212021988 has 96 divisors (see below), whose sum is σ = 548768640. Its totient is φ = 63452160.

The previous prime is 212021983. The next prime is 212021993. The reversal of 212021988 is 889120212.

It is an interprime number because it is at equal distance from previous prime (212021983) and next prime (212021993).

It is not an unprimeable number, because it can be changed into a prime (212021983) 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 31 ways as a sum of consecutive naturals, for example, 345570 + ... + 346182.

It is an arithmetic number, because the mean of its divisors is an integer number (5716340).

Almost surely, 2212021988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212021988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274384320).

212021988 is an abundant number, since it is smaller than the sum of its proper divisors (336746652).

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

212021988 is a wasteful number, since it uses less digits than its factorization.

212021988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 212021988 is about 14560.9748300037. The cubic root of 212021988 is about 596.2938096136.

The spelling of 212021988 in words is "two hundred twelve million, twenty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 19 37 38 41 57 74 76 82 111 114 123 148 164 222 228 246 444 492 613 703 779 1226 1406 1517 1558 1839 2109 2337 2452 2812 3034 3116 3678 4218 4551 4674 6068 7356 8436 9102 9348 11647 18204 22681 23294 25133 28823 34941 45362 46588 50266 57646 68043 69882 75399 86469 90724 100532 115292 136086 139764 150798 172938 272172 301596 345876 430939 477527 861878 929921 955054 1292817 1432581 1723756 1859842 1910108 2585634 2789763 2865162 3719684 5171268 5579526 5730324 11159052 17668499 35336998 53005497 70673996 106010994 212021988