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214540660 = 22561175853
BaseRepresentation
bin11001100100110…
…10000101110100
3112221200210110101
430302122011310
5414410300120
633142203444
75213364655
oct1462320564
9487623411
10214540660
11100114634
125ba23584
13355a8849
14206c952c
1513c7c90a
hexcc9a174

214540660 has 24 divisors (see below), whose sum is σ = 457923816. Its totient is φ = 84408960.

The previous prime is 214540621. The next prime is 214540687. The reversal of 214540660 is 66045412.

It can be written as a sum of positive squares in 4 ways, for example, as 35344 + 214505316 = 188^2 + 14646^2 .

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, 86707 + ... + 89146.

It is an arithmetic number, because the mean of its divisors is an integer number (19080159).

Almost surely, 2214540660 is an apocalyptic number.

214540660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214540660 is an abundant number, since it is smaller than the sum of its proper divisors (243383156).

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

214540660 is a wasteful number, since it uses less digits than its factorization.

214540660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175923 (or 175921 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 214540660 is about 14647.2065596140. The cubic root of 214540660 is about 598.6457046996.

The spelling of 214540660 in words is "two hundred fourteen million, five hundred forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 175853 351706 703412 879265 1758530 3517060 10727033 21454066 42908132 53635165 107270330 214540660