Search a number
-
+
214413831 = 33149223239
BaseRepresentation
bin11001100011110…
…11001000000111
3112221110100111000
430301323020013
5414342220311
633135344343
75212326132
oct1461731007
9487410430
10214413831
11100038315
125b9820b3
1335562bb8
1420695219
1513c55056
hexcc7b207

214413831 has 32 divisors (see below), whose sum is σ = 322560000. Its totient is φ = 140755104.

The previous prime is 214413811. The next prime is 214413833. The reversal of 214413831 is 138314412.

214413831 is a `hidden beast` number, since 214 + 413 + 8 + 31 = 666.

214413831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214413831 - 26 = 214413767 is a prime.

It is a super-2 number, since 2×2144138312 = 91946581848193122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214413795 and 214413804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214413833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897010 + ... + 897248.

It is an arithmetic number, because the mean of its divisors is an integer number (10080000).

Almost surely, 2214413831 is an apocalyptic number.

214413831 is a deficient number, since it is larger than the sum of its proper divisors (108146169).

214413831 is a wasteful number, since it uses less digits than its factorization.

214413831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 214413831 is about 14642.8764592207. The cubic root of 214413831 is about 598.5277152510.

The spelling of 214413831 in words is "two hundred fourteen million, four hundred thirteen thousand, eight hundred thirty-one".

Divisors: 1 3 9 27 149 223 239 447 669 717 1341 2007 2151 4023 6021 6453 33227 35611 53297 99681 106833 159891 299043 320499 479673 897129 961497 1439019 7941253 23823759 71471277 214413831