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214302440 = 23511487051
BaseRepresentation
bin11001100010111…
…11111011101000
3112221020200200102
430301133323220
5414330134230
633133124532
75211353312
oct1461377350
9487220612
10214302440
11aaa71660
125b929748
13355242a1
14206667b2
1513c32045
hexcc5fee8

214302440 has 32 divisors (see below), whose sum is σ = 526016160. Its totient is φ = 77928000.

The previous prime is 214302437. The next prime is 214302481. The reversal of 214302440 is 44203412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243086 + ... + 243965.

It is an arithmetic number, because the mean of its divisors is an integer number (16438005).

Almost surely, 2214302440 is an apocalyptic number.

214302440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214302440 is an abundant number, since it is smaller than the sum of its proper divisors (311713720).

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

214302440 is a wasteful number, since it uses less digits than its factorization.

214302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487073 (or 487069 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 214302440 is about 14639.0723749833. The cubic root of 214302440 is about 598.4240494424.

Adding to 214302440 its reverse (44203412), we get a palindrome (258505852).

The spelling of 214302440 in words is "two hundred fourteen million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 487051 974102 1948204 2435255 3896408 4870510 5357561 9741020 10715122 19482040 21430244 26787805 42860488 53575610 107151220 214302440