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214306460 = 22579135637
BaseRepresentation
bin11001100011000…
…00111010011100
3112221020220012022
430301200322130
5414330301320
633133155312
75211401114
oct1461407234
9487226168
10214306460
11aaa74685
125b92bb38
1335526074
1420668044
1513c33325
hexcc60e9c

214306460 has 24 divisors (see below), whose sum is σ = 455743680. Its totient is φ = 84636864.

The previous prime is 214306459. The next prime is 214306489. The reversal of 214306460 is 64603412.

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, 66239 + ... + 69398.

It is an arithmetic number, because the mean of its divisors is an integer number (18989320).

Almost surely, 2214306460 is an apocalyptic number.

214306460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214306460 is an abundant number, since it is smaller than the sum of its proper divisors (241437220).

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

214306460 is a wasteful number, since it uses less digits than its factorization.

214306460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135725 (or 135723 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 214306460 is about 14639.2096781213. The cubic root of 214306460 is about 598.4277912720.

Adding to 214306460 its reverse (64603412), we get a palindrome (278909872).

The spelling of 214306460 in words is "two hundred fourteen million, three hundred six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 135637 271274 542548 678185 1356370 2712740 10715323 21430646 42861292 53576615 107153230 214306460