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212640216 = 23317521177
BaseRepresentation
bin11001010110010…
…10000111011000
3112211010020112120
430223022013120
5413413441331
633033341240
75161261215
oct1453120730
9484106476
10212640216
11aa036818
125b267820
1335091819
1420352b0c
1513a04796
hexcaca1d8

212640216 has 32 divisors (see below), whose sum is σ = 562872240. Its totient is φ = 66710528.

The previous prime is 212640193. The next prime is 212640217. The reversal of 212640216 is 612046212.

It is a super-2 number, since 2×2126402162 = 90431722921053312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212640217) 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 7 ways as a sum of consecutive naturals, for example, 260181 + ... + 260996.

Almost surely, 2212640216 is an apocalyptic number.

It is an amenable number.

212640216 is an abundant number, since it is smaller than the sum of its proper divisors (350232024).

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

212640216 is a wasteful number, since it uses less digits than its factorization.

212640216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521203 (or 521199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 212640216 is about 14582.1883131442. The cubic root of 212640216 is about 596.8728184308.

Adding to 212640216 its reverse (612046212), we get a palindrome (824686428).

The spelling of 212640216 in words is "two hundred twelve million, six hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 521177 1042354 1563531 2084708 3127062 4169416 6254124 8860009 12508248 17720018 26580027 35440036 53160054 70880072 106320108 212640216