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214302966 = 2364155721
BaseRepresentation
bin11001100011000…
…00000011110110
3112221020201101220
430301200003312
5414330143331
633133131210
75211354663
oct1461400366
9487221356
10214302966
11aaa71a99
125b929b06
13355245b7
1420666a6a
1513c32296
hexcc600f6

214302966 has 16 divisors (see below), whose sum is σ = 429282288. Its totient is φ = 71321600.

The previous prime is 214302931. The next prime is 214302967. The reversal of 214302966 is 669203412.

214302966 = T476 + T477 + ... + T1116.

It is a super-2 number, since 2×2143029662 = 91851522472794312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214302967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24015 + ... + 31706.

It is an arithmetic number, because the mean of its divisors is an integer number (26830143).

Almost surely, 2214302966 is an apocalyptic number.

214302966 is an abundant number, since it is smaller than the sum of its proper divisors (214979322).

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

214302966 is a wasteful number, since it uses less digits than its factorization.

214302966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56367.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 214302966 is about 14639.0903405915. The cubic root of 214302966 is about 598.4245390476.

The spelling of 214302966 in words is "two hundred fourteen million, three hundred two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 641 1282 1923 3846 55721 111442 167163 334326 35717161 71434322 107151483 214302966