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214465460 = 225111935051
BaseRepresentation
bin11001100100001…
…11101110110100
3112221112222022012
430302013232310
5414400343320
633140423352
75212632506
oct1462075664
9487488265
10214465460
11100073090
125b9a7b58
1335580551
14206a9d76
1513c654c5
hexcc87bb4

214465460 has 48 divisors (see below), whose sum is σ = 493964352. Its totient is φ = 77568000.

The previous prime is 214465453. The next prime is 214465499. The reversal of 214465460 is 64564412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39935 + ... + 44985.

It is an arithmetic number, because the mean of its divisors is an integer number (10290924).

Almost surely, 2214465460 is an apocalyptic number.

214465460 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 214465460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246982176).

214465460 is an abundant number, since it is smaller than the sum of its proper divisors (279498892).

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

214465460 is a wasteful number, since it uses less digits than its factorization.

214465460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 214465460 is about 14644.6392922462. The cubic root of 214465460 is about 598.5757514984.

The spelling of 214465460 in words is "two hundred fourteen million, four hundred sixty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 772 965 1930 2123 3860 4246 5051 8492 10102 10615 20204 21230 25255 42460 50510 55561 101020 111122 222244 277805 555610 974843 1111220 1949686 3899372 4874215 9748430 10723273 19496860 21446546 42893092 53616365 107232730 214465460