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214159196160 = 217335721319
BaseRepresentation
bin1100011101110011100…
…0100000000000000000
3202110210010022101011000
43013130320200000000
512002044223234120
6242214450452000
721321031063200
oct3073470400000
9673703271130
10214159196160
1182908312908
1235609594000
131726c8c9960
14a518798400
155886551990
hex31dce20000

214159196160 has 1728 divisors, whose sum is σ = 1004112547200. Its totient is φ = 42807066624.

The previous prime is 214159196159. The next prime is 214159196161. The reversal of 214159196160 is 61691951412.

214159196160 is a `hidden beast` number, since 2 + 1 + 4 + 15 + 9 + 19 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (214159196159) and next prime (214159196161).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×2141591961602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214159196161) 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, 11271536631 + ... + 11271536649.

It is an arithmetic number, because the mean of its divisors is an integer number (581083650).

Almost surely, 2214159196160 is an apocalyptic number.

214159196160 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 214159196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502056273600).

214159196160 is an abundant number, since it is smaller than the sum of its proper divisors (789953351040).

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

214159196160 is an equidigital number, since it uses as much as digits as its factorization.

214159196160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 214159196160 in words is "two hundred fourteen billion, one hundred fifty-nine million, one hundred ninety-six thousand, one hundred sixty".