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214002204 = 223135923251
BaseRepresentation
bin11001100000101…
…10101000011100
3112220200102211120
430300112220130
5414241032304
633122450540
75205663063
oct1460265034
9486612746
10214002204
11aa887029
125b803a50
133544a730
14205c91da
1513bc30d9
hexcc16a1c

214002204 has 48 divisors (see below), whose sum is σ = 546887040. Its totient is φ = 64728000.

The previous prime is 214002203. The next prime is 214002209. The reversal of 214002204 is 402200412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214002203) 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, 2422 + ... + 20829.

It is an arithmetic number, because the mean of its divisors is an integer number (11393480).

Almost surely, 2214002204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214002204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273443520).

214002204 is an abundant number, since it is smaller than the sum of its proper divisors (332884836).

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

214002204 is a wasteful number, since it uses less digits than its factorization.

214002204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23330 (or 23328 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 214002204 is about 14628.8141693030. The cubic root of 214002204 is about 598.1444564010.

Adding to 214002204 its reverse (402200412), we get a palindrome (616202616).

The spelling of 214002204 in words is "two hundred fourteen million, two thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1534 2301 3068 4602 9204 23251 46502 69753 93004 139506 279012 302263 604526 906789 1209052 1371809 1813578 2743618 3627156 4115427 5487236 8230854 16461708 17833517 35667034 53500551 71334068 107001102 214002204