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214513520 = 24513206263
BaseRepresentation
bin11001100100100…
…11011101110000
3112221122102020012
430302103131300
5414403413040
633141434052
75213222564
oct1462233560
9487572205
10214513520
111000a6201
125ba0b928
13355993a0
14206bd6a4
1513c74865
hexcc93770

214513520 has 40 divisors (see below), whose sum is σ = 537111456. Its totient is φ = 79204608.

The previous prime is 214513513. The next prime is 214513549. The reversal of 214513520 is 25315412.

214513520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102092 + ... + 104171.

Almost surely, 2214513520 is an apocalyptic number.

214513520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214513520 is an abundant number, since it is smaller than the sum of its proper divisors (322597936).

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

214513520 is a wasteful number, since it uses less digits than its factorization.

214513520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206289 (or 206283 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 214513520 is about 14646.2800737935. The cubic root of 214513520 is about 598.6204601771.

Adding to 214513520 its reverse (25315412), we get a palindrome (239828932).

The spelling of 214513520 in words is "two hundred fourteen million, five hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 206263 412526 825052 1031315 1650104 2062630 2681419 3300208 4125260 5362838 8250520 10725676 13407095 16501040 21451352 26814190 42902704 53628380 107256760 214513520