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212238630 = 2355167523
BaseRepresentation
bin11001010011010…
…00000100100110
3112210100211200000
430221220010212
5413313114010
633021002130
75154666342
oct1451500446
9483324600
10212238630
11a989202a
125b0b3346
1334c80ab6
142028a622
15139757c0
hexca68126

212238630 has 96 divisors (see below), whose sum is σ = 576785664. Its totient is φ = 56150496.

The previous prime is 212238629. The next prime is 212238661. The reversal of 212238630 is 36832212.

212238630 is a `hidden beast` number, since 2 + 1 + 2 + 23 + 8 + 630 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212238594 and 212238603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405549 + ... + 406071.

It is an arithmetic number, because the mean of its divisors is an integer number (6008184).

Almost surely, 2212238630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212238630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288392832).

212238630 is an abundant number, since it is smaller than the sum of its proper divisors (364547034).

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

212238630 is a wasteful number, since it uses less digits than its factorization.

212238630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 212238630 is about 14568.4120617176. The cubic root of 212238630 is about 596.4968362126.

The spelling of 212238630 in words is "two hundred twelve million, two hundred thirty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 167 243 270 334 405 486 501 523 810 835 1002 1046 1215 1503 1569 1670 2430 2505 2615 3006 3138 4509 4707 5010 5230 7515 7845 9018 9414 13527 14121 15030 15690 22545 23535 27054 28242 40581 42363 45090 47070 67635 70605 81162 84726 87341 127089 135270 141210 174682 202905 211815 254178 262023 405810 423630 436705 524046 635445 786069 873410 1270890 1310115 1572138 2358207 2620230 3930345 4716414 7074621 7860690 11791035 14149242 21223863 23582070 35373105 42447726 70746210 106119315 212238630