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212414412210 = 2357112136131049
BaseRepresentation
bin1100010111010011100…
…0101011010110110010
3202022021112012011112020
43011310320223112302
511440011042142320
6241325402012310
721226553466420
oct3056470532662
9668245164466
10212414412210
11820a2441900
12352011a7096
13170522a0210
14a3d0b76110
1557d32a3940
hex3174e2b5b2

212414412210 has 384 divisors, whose sum is σ = 691448486400. Its totient is φ = 40637583360.

The previous prime is 212414412179. The next prime is 212414412211. The reversal of 212414412210 is 12214414212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212414412211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202491766 + ... + 202492814.

It is an arithmetic number, because the mean of its divisors is an integer number (1800647100).

Almost surely, 2212414412210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212414412210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345724243200).

212414412210 is an abundant number, since it is smaller than the sum of its proper divisors (479034074190).

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

212414412210 is a wasteful number, since it uses less digits than its factorization.

212414412210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 212414412210 its reverse (12214414212), we get a palindrome (224628826422).

The spelling of 212414412210 in words is "two hundred twelve billion, four hundred fourteen million, four hundred twelve thousand, two hundred ten".