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212426632 = 23112317079
BaseRepresentation
bin11001010100101…
…01111110001000
3112210201101120001
430222111332020
5413340123012
633025012344
75156411425
oct1452257610
9483641501
10212426632
11a9a00300
125b1840b4
1335018542
14202d8d4c
15139b1357
hexca95f88

212426632 has 48 divisors (see below), whose sum is σ = 451987200. Its totient is φ = 93429600.

The previous prime is 212426623. The next prime is 212426647. The reversal of 212426632 is 236624212.

212426632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212426632.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26469 + ... + 33547.

It is an arithmetic number, because the mean of its divisors is an integer number (9416400).

Almost surely, 2212426632 is an apocalyptic number.

212426632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212426632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225993600).

212426632 is an abundant number, since it is smaller than the sum of its proper divisors (239560568).

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

212426632 is a wasteful number, since it uses less digits than its factorization.

212426632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7138 (or 7123 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 212426632 is about 14574.8630182242. The cubic root of 212426632 is about 596.6729108231.

The spelling of 212426632 in words is "two hundred twelve million, four hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1364 2728 3751 7079 7502 14158 15004 28316 30008 56632 77869 155738 219449 311476 438898 622952 856559 877796 1713118 1755592 2413939 3426236 4827878 6852472 9655756 19311512 26553329 53106658 106213316 212426632