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214540768 = 2513239671
BaseRepresentation
bin11001100100110…
…10000111100000
3112221200210121101
430302122013200
5414410301033
633142204144
75213365201
oct1462320740
9487623541
10214540768
11100114722
125ba23654
13355a8900
14206c95a8
1513c7c97d
hexcc9a1e0

214540768 has 36 divisors (see below), whose sum is σ = 457378488. Its totient is φ = 99016320.

The previous prime is 214540751. The next prime is 214540787. The reversal of 214540768 is 867045412.

It is a super-2 number, since 2×2145407682 = 92055482268059648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14428 + ... + 25243.

It is an arithmetic number, because the mean of its divisors is an integer number (12704958).

Almost surely, 2214540768 is an apocalyptic number.

It is an amenable number.

214540768 is an abundant number, since it is smaller than the sum of its proper divisors (242837720).

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

214540768 is a wasteful number, since it uses less digits than its factorization.

214540768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39707 (or 39686 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 214540768 is about 14647.2102463234. The cubic root of 214540768 is about 598.6458051525.

The spelling of 214540768 in words is "two hundred fourteen million, five hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 39671 79342 158684 317368 515723 634736 1031446 1269472 2062892 4125784 6704399 8251568 13408798 16503136 26817596 53635192 107270384 214540768