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216338652 = 22326009407
BaseRepresentation
bin11001110010100…
…01000011011100
3120002002010211200
430321101003130
5420340314102
633244515500
75234563635
oct1471210334
9502063750
10216338652
11101132482
126054bb90
1335a8804a
1420a3688c
1513ed551c
hexce510dc

216338652 has 18 divisors (see below), whose sum is σ = 546856128. Its totient is φ = 72112872.

The previous prime is 216338641. The next prime is 216338659. The reversal of 216338652 is 256833612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6009407 = 216338652 / (2 + 1 + 6 + 3 + 3 + 8 + 6 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216338659) 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 5 ways as a sum of consecutive naturals, for example, 3004668 + ... + 3004739.

It is an arithmetic number, because the mean of its divisors is an integer number (30380896).

Almost surely, 2216338652 is an apocalyptic number.

It is an amenable number.

216338652 is an abundant number, since it is smaller than the sum of its proper divisors (330517476).

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

216338652 is a wasteful number, since it uses less digits than its factorization.

216338652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009417 (or 6009412 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 216338652 is about 14708.4551194203. The cubic root of 216338652 is about 600.3134029358.

The spelling of 216338652 in words is "two hundred sixteen million, three hundred thirty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6009407 12018814 18028221 24037628 36056442 54084663 72112884 108169326 216338652