Search a number
-
+
210664431 = 32113359577
BaseRepresentation
bin11001000111001…
…11101111101111
3112200101212021100
430203213233233
5412412230211
632523134143
75135422005
oct1443475757
9480355240
10210664431
11a8a0733a
125a674353
133484c413
141dd9aa75
1513764156
hexc8e7bef

210664431 has 24 divisors (see below), whose sum is σ = 308374560. Its totient is φ = 138571776.

The previous prime is 210664417. The next prime is 210664471. The reversal of 210664431 is 134466012.

210664431 is a `hidden beast` number, since 2 + 10 + 6 + 644 + 3 + 1 = 666.

It is not a de Polignac number, because 210664431 - 26 = 210664367 is a prime.

It is a super-2 number, since 2×2106644312 = 88759004977107522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210664395 and 210664404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210664471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364815 + ... + 365391.

It is an arithmetic number, because the mean of its divisors is an integer number (12848940).

Almost surely, 2210664431 is an apocalyptic number.

210664431 is a deficient number, since it is larger than the sum of its proper divisors (97710129).

210664431 is a wasteful number, since it uses less digits than its factorization.

210664431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 210664431 is about 14514.2836888356. The cubic root of 210664431 is about 595.0184124425.

The spelling of 210664431 in words is "two hundred ten million, six hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 113 339 359 577 1017 1077 1731 3231 5193 40567 65201 121701 195603 207143 365103 586809 621429 1864287 23407159 70221477 210664431