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212297934564 = 223241218732
BaseRepresentation
bin1100010110110111110…
…0010110011011100100
3202021222102000111020100
43011231330112123210
511434241232401224
6241310041304100
721223640445432
oct3055574263344
9667872014210
10212297934564
1182042716491
123518a195030
131703410a631
14a3bd4d5d52
1557c7e46ac9
hex316df166e4

212297934564 has 81 divisors (see below), whose sum is σ = 550343900379. Its totient is φ = 69003118080.

The previous prime is 212297934559. The next prime is 212297934577. The reversal of 212297934564 is 465439792212.

It is a happy number.

The square root of 212297934564 is 460758.

It is a perfect power (a square), and thus also a powerful number.

212297934564 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 9 + 79 + 3 + 4 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182371702500 + 29926232064 = 427050^2 + 172992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212297934564.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113345532 + ... + 113347404.

Almost surely, 2212297934564 is an apocalyptic number.

212297934564 is the 460758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212297934564

212297934564 is an abundant number, since it is smaller than the sum of its proper divisors (338045965815).

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

212297934564 is an equidigital number, since it uses as much as digits as its factorization.

212297934564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 1919 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 212297934564 in words is "two hundred twelve billion, two hundred ninety-seven million, nine hundred thirty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 1873 3362 3746 5043 5619 6724 7492 10086 11238 15129 16857 20172 22476 30258 33714 60516 67428 76793 153586 230379 307172 460758 691137 921516 1382274 2764548 3148513 3508129 6297026 7016258 9445539 10524387 12594052 14032516 18891078 21048774 28336617 31573161 37782156 42097548 56673234 63146322 113346468 126292644 143833289 287666578 431499867 575333156 862999734 1294499601 1725999468 2588999202 5177998404 5897164849 11794329698 17691494547 23588659396 35382989094 53074483641 70765978188 106148967282 212297934564