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213864608 = 2519351751
BaseRepresentation
bin11001011111101…
…01000010100000
3112220102110002102
430233311002200
5414222131413
633115505532
75204550656
oct1457650240
9486373072
10213864608
11aa7a2711
125b7582a8
13353ccc09
1420590dd6
1513b97458
hexcbf50a0

213864608 has 24 divisors (see below), whose sum is σ = 443207520. Its totient is φ = 101304000.

The previous prime is 213864601. The next prime is 213864619. The reversal of 213864608 is 806468312.

It is a happy number.

213864608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (213864601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175268 + ... + 176483.

It is an arithmetic number, because the mean of its divisors is an integer number (18466980).

Almost surely, 2213864608 is an apocalyptic number.

It is an amenable number.

213864608 is an abundant number, since it is smaller than the sum of its proper divisors (229342912).

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

213864608 is a wasteful number, since it uses less digits than its factorization.

213864608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351780 (or 351772 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 213864608 is about 14624.1105028648. The cubic root of 213864608 is about 598.0162335313.

The spelling of 213864608 in words is "two hundred thirteen million, eight hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 351751 703502 1407004 2814008 5628016 6683269 11256032 13366538 26733076 53466152 106932304 213864608