Search a number
-
+
212034665546220 = 2235112791013660343
BaseRepresentation
bin110000001101100000101010…
…111010111000000111101100
31000210202022112102001100222010
4300031200222322320013230
5210242433443334434340
62030543214114321220
762442666450525456
oct6015405272700754
91023668472040863
10212034665546220
116161943aa72100
121b9458a4589210
139140a2480039a
143a5076552b2d6
15197a7954c7b80
hexc0d82aeb81ec

212034665546220 has 288 divisors, whose sum is σ = 667379686901760. Its totient is φ = 50249174976000.

The previous prime is 212034665546183. The next prime is 212034665546227. The reversal of 212034665546220 is 22645566430212.

It is a self number, because there is not a number n which added to its sum of digits gives 212034665546220.

It is not an unprimeable number, because it can be changed into a prime (212034665546227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56097369 + ... + 59757711.

It is an arithmetic number, because the mean of its divisors is an integer number (2317290579520).

Almost surely, 2212034665546220 is an apocalyptic number.

212034665546220 is a gapful number since it is divisible by the number (20) 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 212034665546220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333689843450880).

212034665546220 is an abundant number, since it is smaller than the sum of its proper divisors (455345021355540).

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

212034665546220 is a wasteful number, since it uses less digits than its factorization.

212034665546220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660557 (or 3660544 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 212034665546220 in words is "two hundred twelve trillion, thirty-four billion, six hundred sixty-five million, five hundred forty-six thousand, two hundred twenty".