Search a number
-
+
214264757 = 7236121817
BaseRepresentation
bin11001100010101…
…10101110110101
3112221011202222202
430301112232311
5414322433012
633132234245
75211135410
oct1461265665
9487152882
10214264757
11aaa46313
125b90b985
13355100a5
1420656b77
1513c25cc2
hexcc56bb5

214264757 has 16 divisors (see below), whose sum is σ = 259721472. Its totient is φ = 172782720.

The previous prime is 214264751. The next prime is 214264769. The reversal of 214264757 is 757462412.

It is a cyclic number.

It is not a de Polignac number, because 214264757 - 212 = 214260661 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214264757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214264751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088 + ... + 20729.

It is an arithmetic number, because the mean of its divisors is an integer number (16232592).

Almost surely, 2214264757 is an apocalyptic number.

It is an amenable number.

214264757 is a deficient number, since it is larger than the sum of its proper divisors (45456715).

214264757 is a wasteful number, since it uses less digits than its factorization.

214264757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21908.

The product of its digits is 94080, while the sum is 38.

The square root of 214264757 is about 14637.7852491420. The cubic root of 214264757 is about 598.3889717031.

The spelling of 214264757 in words is "two hundred fourteen million, two hundred sixty-four thousand, seven hundred fifty-seven".

Divisors: 1 7 23 61 161 427 1403 9821 21817 152719 501791 1330837 3512537 9315859 30609251 214264757