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216222876828 = 223273194321433
BaseRepresentation
bin1100100101011111100…
…0110100010010011100
3202200002221111012211100
43021113320310102130
512020311024024303
6243155330353100
721423130062000
oct3112770642234
9680087435740
10216222876828
11837771a4722
1235aa472b790
131750b30c38a
14a6728ac700
1559577e28a3
hex3257e3449c

216222876828 has 288 divisors, whose sum is σ = 686573888000. Its totient is φ = 57162744576.

The previous prime is 216222876811. The next prime is 216222876899. The reversal of 216222876828 is 828678222612.

216222876828 is a `hidden beast` number, since 2 + 1 + 622 + 2 + 8 + 7 + 6 + 8 + 2 + 8 = 666.

216222876828 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10077600 + ... + 10099032.

Almost surely, 2216222876828 is an apocalyptic number.

216222876828 is a gapful number since it is divisible by the number (28) 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 216222876828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343286944000).

216222876828 is an abundant number, since it is smaller than the sum of its proper divisors (470351011172).

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

216222876828 is a wasteful number, since it uses less digits than its factorization.

216222876828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21526 (or 21507 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 216222876828 in words is "two hundred sixteen billion, two hundred twenty-two million, eight hundred seventy-six thousand, eight hundred twenty-eight".