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214365013 = 29237832
BaseRepresentation
bin11001100011011…
…11001101010101
3112221100212111221
430301233031111
5414334140023
633134330341
75212033612
oct1461571525
9487325457
10214365013
11100004675
125b9599b1
1335546905
1420681509
1513c4585d
hexcc6f355

214365013 has 18 divisors (see below), whose sum is σ = 230792354. Its totient is φ = 198952992.

The previous prime is 214365001. The next prime is 214365023. The reversal of 214365013 is 310563412.

It can be written as a sum of positive squares in 3 ways, for example, as 77404804 + 136960209 = 8798^2 + 11703^2 .

It is a de Polignac number, because none of the positive numbers 2k-214365013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214365023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2582670 + ... + 2582752.

Almost surely, 2214365013 is an apocalyptic number.

It is an amenable number.

214365013 is a deficient number, since it is larger than the sum of its proper divisors (16427341).

214365013 is an frugal number, since it uses more digits than its factorization.

214365013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 214365013 is about 14641.2094104278. The cubic root of 214365013 is about 598.4822872988.

The spelling of 214365013 in words is "two hundred fourteen million, three hundred sixty-five thousand, thirteen".

Divisors: 1 29 37 83 841 1073 2407 3071 6889 31117 69803 89059 199781 254893 2582711 5793649 7391897 214365013