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213320422656 = 28321159331431
BaseRepresentation
bin1100011010101011100…
…0110101010100000000
3202101121200000021012200
43012222320311110000
511443340012011111
6241555324553200
721261164450325
oct3065270652400
9671550007180
10213320422656
11825178a9970
12354146b2800
1317167bbc583
14a479218b4c
155837abb256
hex31aae35500

213320422656 has 432 divisors, whose sum is σ = 685991255040. Its totient is φ = 63207936000.

The previous prime is 213320422643. The next prime is 213320422657. The reversal of 213320422656 is 656224023312.

213320422656 is a `hidden beast` number, since 21 + 332 + 0 + 42 + 265 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213320422656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213320422657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 494942761 + ... + 494943191.

It is an arithmetic number, because the mean of its divisors is an integer number (1587942720).

Almost surely, 2213320422656 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 213320422656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342995627520).

213320422656 is an abundant number, since it is smaller than the sum of its proper divisors (472670832384).

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

213320422656 is a wasteful number, since it uses less digits than its factorization.

213320422656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 213320422656 its reverse (656224023312), we get a palindrome (869544445968).

The spelling of 213320422656 in words is "two hundred thirteen billion, three hundred twenty million, four hundred twenty-two thousand, six hundred fifty-six".