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213997020 = 223517209801
BaseRepresentation
bin11001100000101…
…01010111011100
3112220200011201120
430300111113130
5414240401040
633122410540
75205642006
oct1460252734
9486604646
10213997020
11aa883146
125b800a50
1335448273
14205c7376
1513bc17d0
hexcc155dc

213997020 has 48 divisors (see below), whose sum is σ = 634441248. Its totient is φ = 53708800.

The previous prime is 213997009. The next prime is 213997031. The reversal of 213997020 is 20799312.

213997020 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 an interprime number because it is at equal distance from previous prime (213997009) and next prime (213997031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103881 + ... + 105920.

It is an arithmetic number, because the mean of its divisors is an integer number (13217526).

Almost surely, 2213997020 is an apocalyptic number.

213997020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213997020 is an abundant number, since it is smaller than the sum of its proper divisors (420444228).

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

213997020 is a wasteful number, since it uses less digits than its factorization.

213997020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209830 (or 209828 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 213997020 is about 14628.6369836701. The cubic root of 213997020 is about 598.1396265350.

The spelling of 213997020 in words is "two hundred thirteen million, nine hundred ninety-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 209801 419602 629403 839204 1049005 1258806 2098010 2517612 3147015 3566617 4196020 6294030 7133234 10699851 12588060 14266468 17833085 21399702 35666170 42799404 53499255 71332340 106998510 213997020