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213864975 = 33521013137
BaseRepresentation
bin11001011111101…
…01001000001111
3112220102110121000
430233311020033
5414222134400
633115511343
75204552022
oct1457651017
9486373530
10213864975
11aa7a2a15
125b758553
133540012c
14205911b9
1513b97600
hexcbf520f

213864975 has 48 divisors (see below), whose sum is σ = 396894240. Its totient is φ = 112896000.

The previous prime is 213864949. The next prime is 213864991. The reversal of 213864975 is 579468312.

It is not a de Polignac number, because 213864975 - 211 = 213862927 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213864975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66607 + ... + 69743.

It is an arithmetic number, because the mean of its divisors is an integer number (8268630).

Almost surely, 2213864975 is an apocalyptic number.

213864975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213864975 is a deficient number, since it is larger than the sum of its proper divisors (183029265).

213864975 is a wasteful number, since it uses less digits than its factorization.

213864975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3246 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 213864975 is about 14624.1230506311. The cubic root of 213864975 is about 598.0165756042.

The spelling of 213864975 in words is "two hundred thirteen million, eight hundred sixty-four thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 101 135 225 303 505 675 909 1515 2525 2727 3137 4545 7575 9411 13635 15685 22725 28233 47055 68175 78425 84699 141165 235275 316837 423495 705825 950511 1584185 2117475 2851533 4752555 7920925 8554599 14257665 23762775 42772995 71288325 213864975