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214212096 = 2932729229
BaseRepresentation
bin11001100010010…
…01111000000000
3112221002002202100
430301021320000
5414314241341
633131150400
75210526030
oct1461117000
9487062670
10214212096
11aaa0a79a
125b8a5400
13354c2127
14206418c0
1513c153b6
hexcc49e00

214212096 has 240 divisors, whose sum is σ = 734104800. Its totient is φ = 58834944.

The previous prime is 214212083. The next prime is 214212109. The reversal of 214212096 is 690212412.

It is an interprime number because it is at equal distance from previous prime (214212083) and next prime (214212109).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935310 + ... + 935538.

It is an arithmetic number, because the mean of its divisors is an integer number (3058770).

Almost surely, 2214212096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367052400).

214212096 is an abundant number, since it is smaller than the sum of its proper divisors (519892704).

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

214212096 is a wasteful number, since it uses less digits than its factorization.

214212096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 214212096 is about 14635.9863350578. The cubic root of 214212096 is about 598.3399445960.

The spelling of 214212096 in words is "two hundred fourteen million, two hundred twelve thousand, ninety-six".