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214071480 = 2332571719263
BaseRepresentation
bin11001100001001…
…11100010111000
3112220210221212100
430300213202320
5414300241410
633124143400
75206402050
oct1460474270
9486727770
10214071480
11aa924087
125b837b60
133547311c
1420606560
1513bd88c0
hexcc278b8

214071480 has 384 divisors, whose sum is σ = 889574400. Its totient is φ = 43462656.

The previous prime is 214071479. The next prime is 214071493. The reversal of 214071480 is 84170412.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 813829 + ... + 814091.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 2214071480 is an apocalyptic number.

214071480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214071480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444787200).

214071480 is an abundant number, since it is smaller than the sum of its proper divisors (675502920).

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

214071480 is a wasteful number, since it uses less digits than its factorization.

214071480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 214071480 is about 14631.1817704518. The cubic root of 214071480 is about 598.2089924729.

The spelling of 214071480 in words is "two hundred fourteen million, seventy-one thousand, four hundred eighty".