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212250132 = 22342572549
BaseRepresentation
bin11001010011010…
…10111000010100
3112210101102110000
430221222320110
5413314001012
633021131300
75155045023
oct1451527024
9483342400
10212250132
11a989a736
125b0b9b30
1334c860c3
14202908ba
1513978ddc
hexca6ae14

212250132 has 60 divisors (see below), whose sum is σ = 557241300. Its totient is φ = 70447104.

The previous prime is 212250131. The next prime is 212250133. The reversal of 212250132 is 231052212.

It is an interprime number because it is at equal distance from previous prime (212250131) and next prime (212250133).

It can be written as a sum of positive squares in 2 ways, for example, as 203747076 + 8503056 = 14274^2 + 2916^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212250131) 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 19 ways as a sum of consecutive naturals, for example, 81994 + ... + 84542.

It is an arithmetic number, because the mean of its divisors is an integer number (9287355).

Almost surely, 2212250132 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 212250132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278620650).

212250132 is an abundant number, since it is smaller than the sum of its proper divisors (344991168).

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

212250132 is a wasteful number, since it uses less digits than its factorization.

212250132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212250132 is about 14568.8068145610. The cubic root of 212250132 is about 596.5076114780.

The spelling of 212250132 in words is "two hundred twelve million, two hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 257 324 514 771 1028 1542 2313 2549 3084 4626 5098 6939 7647 9252 10196 13878 15294 20817 22941 27756 30588 41634 45882 68823 83268 91764 137646 206469 275292 412938 655093 825876 1310186 1965279 2620372 3930558 5895837 7861116 11791674 17687511 23583348 35375022 53062533 70750044 106125066 212250132