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214327296 = 213341719
BaseRepresentation
bin11001100011001…
…10000000000000
3112221021221210000
430301212000000
5414331433141
633133440000
75211515631
oct1461460000
9487257700
10214327296
11aaa892a7
125b940000
13355326b1
1420671888
1513c395b6
hexcc66000

214327296 has 280 divisors, whose sum is σ = 713643480. Its totient is φ = 63700992.

The previous prime is 214327291. The next prime is 214327301. The reversal of 214327296 is 692723412.

It is an interprime number because it is at equal distance from previous prime (214327291) and next prime (214327301).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 214327296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214327291) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11280375 + ... + 11280393.

Almost surely, 2214327296 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 214327296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356821740).

214327296 is an abundant number, since it is smaller than the sum of its proper divisors (499316184).

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

214327296 is an equidigital number, since it uses as much as digits as its factorization.

214327296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 41 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 214327296 is about 14639.9213112639. The cubic root of 214327296 is about 598.4471847415.

The spelling of 214327296 in words is "two hundred fourteen million, three hundred twenty-seven thousand, two hundred ninety-six".