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214287880 = 2355357197
BaseRepresentation
bin11001100010111…
…00011000001000
3112221012221201011
430301130120020
5414324203010
633132533304
75211263002
oct1461343010
9487187634
10214287880
11aaa61724
125b921234
133551a781
1420661372
1513c2ca8a
hexcc5c608

214287880 has 16 divisors (see below), whose sum is σ = 482147820. Its totient is φ = 85715136.

The previous prime is 214287863. The next prime is 214287893. The reversal of 214287880 is 88782412.

It can be written as a sum of positive squares in 2 ways, for example, as 195608196 + 18679684 = 13986^2 + 4322^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 5357197 = 214287880 / (2 + 1 + 4 + 2 + 8 + 7 + 8 + 8 + 0).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2678559 + ... + 2678638.

Almost surely, 2214287880 is an apocalyptic number.

214287880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214287880 is an abundant number, since it is smaller than the sum of its proper divisors (267859940).

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

214287880 is a wasteful number, since it uses less digits than its factorization.

214287880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357208 (or 5357204 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 40.

The square root of 214287880 is about 14638.5750672666. The cubic root of 214287880 is about 598.4104965535.

The spelling of 214287880 in words is "two hundred fourteen million, two hundred eighty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 5357197 10714394 21428788 26785985 42857576 53571970 107143940 214287880