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214313780 = 22589120401
BaseRepresentation
bin11001100011000…
…10101100110100
3112221021021020102
430301202230310
5414331020110
633133253232
75211431342
oct1461425464
9487237212
10214313780
11aaa7a12a
125b934218
13355294b5
142066a992
1513c355a5
hexcc62b34

214313780 has 24 divisors (see below), whose sum is σ = 455119560. Its totient is φ = 84761600.

The previous prime is 214313779. The next prime is 214313791. The reversal of 214313780 is 87313412.

It can be written as a sum of positive squares in 4 ways, for example, as 4990756 + 209323024 = 2234^2 + 14468^2 .

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 7 ways as a sum of consecutive naturals, for example, 58421 + ... + 61980.

It is an arithmetic number, because the mean of its divisors is an integer number (18963315).

Almost surely, 2214313780 is an apocalyptic number.

214313780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214313780 is an abundant number, since it is smaller than the sum of its proper divisors (240805780).

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

214313780 is a wasteful number, since it uses less digits than its factorization.

214313780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120499 (or 120497 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 214313780 is about 14639.4596894831. The cubic root of 214313780 is about 598.4346046326.

The spelling of 214313780 in words is "two hundred fourteen million, three hundred thirteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 120401 240802 481604 602005 1204010 2408020 10715689 21431378 42862756 53578445 107156890 214313780