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214095896 = 2372599257
BaseRepresentation
bin11001100001011…
…01100000011000
3112220212012100122
430300231200120
5414302032041
633124452412
75206533200
oct1460554030
9486765318
10214095896
11aa940463
125b84a108
1335481281
1420611400
1513be0c4b
hexcc2d818

214095896 has 48 divisors (see below), whose sum is σ = 474935400. Its totient is φ = 90190464.

The previous prime is 214095883. The next prime is 214095899. The reversal of 214095896 is 698590412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214095899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18500 + ... + 27756.

Almost surely, 2214095896 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 214095896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237467700).

214095896 is an abundant number, since it is smaller than the sum of its proper divisors (260839504).

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

214095896 is a wasteful number, since it uses less digits than its factorization.

214095896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9325 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 214095896 is about 14632.0161290234. The cubic root of 214095896 is about 598.2317345892.

The spelling of 214095896 in words is "two hundred fourteen million, ninety-five thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 196 236 392 413 472 826 1652 2891 3304 5782 9257 11564 18514 23128 37028 64799 74056 129598 259196 453593 518392 546163 907186 1092326 1814372 2184652 3628744 3823141 4369304 7646282 15292564 26761987 30585128 53523974 107047948 214095896