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213198000880 = 2457336506507
BaseRepresentation
bin1100011010001110010…
…1110101001011110000
3202101022010122121002211
43012203211311023300
511443112142012010
6241535233021504
721255150051454
oct3064345651360
9671263577084
10213198000880
1182464793647
123539b6b4894
1317148728257
14a466c6c664
15582be8808a
hex31a39752f0

213198000880 has 40 divisors (see below), whose sum is σ = 502475576112. Its totient is φ = 84110989824.

The previous prime is 213198000871. The next prime is 213198000889. The reversal of 213198000880 is 88000891312.

213198000880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213198000871) and next prime (213198000889).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213198000889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18247414 + ... + 18259093.

Almost surely, 2213198000880 is an apocalyptic number.

213198000880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213198000880 is an abundant number, since it is smaller than the sum of its proper divisors (289277575232).

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

213198000880 is a wasteful number, since it uses less digits than its factorization.

213198000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36506593 (or 36506587 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The spelling of 213198000880 in words is "two hundred thirteen billion, one hundred ninety-eight million, eight hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 36506507 73013014 146026028 182532535 292052056 365065070 584104112 730130140 1460260280 2664975011 2920520560 5329950022 10659900044 13324875055 21319800088 26649750110 42639600176 53299500220 106599000440 213198000880