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213056890200 = 2332527211435107
BaseRepresentation
bin1100011001101100101…
…1100010010101011000
3202100221022010102122100
43012123023202111120
511442320030441300
6241513232323400
721251514454200
oct3063313422530
9670838112570
10213056890200
11823a2073050
12353603a3560
131712541c4cb
14a452219400
15581e8b2700
hex319b2e2558

213056890200 has 864 divisors, whose sum is σ = 929300074560. Its totient is φ = 43233523200.

The previous prime is 213056890187. The next prime is 213056890213. The reversal of 213056890200 is 2098650312.

213056890200 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 568 + 90 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (213056890187) and next prime (213056890213).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 41716047 + ... + 41721153.

It is an arithmetic number, because the mean of its divisors is an integer number (1075578790).

Almost surely, 2213056890200 is an apocalyptic number.

213056890200 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 213056890200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464650037280).

213056890200 is an abundant number, since it is smaller than the sum of its proper divisors (716243184360).

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

213056890200 is a wasteful number, since it uses less digits than its factorization.

213056890200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 213056890200 in words is "two hundred thirteen billion, fifty-six million, eight hundred ninety thousand, two hundred".