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214120134 = 232174316273
BaseRepresentation
bin11001100001100…
…11011011000110
3112220220102121100
430300303123012
5414303321014
633125200530
75206663644
oct1460633306
9486812540
10214120134
11aa957698
125b860146
133548c307
142061a194
1513be8009
hexcc336c6

214120134 has 48 divisors (see below), whose sum is σ = 502671312. Its totient is φ = 65608704.

The previous prime is 214120111. The next prime is 214120189. The reversal of 214120134 is 431021412.

214120134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5022 + ... + 21294.

It is an arithmetic number, because the mean of its divisors is an integer number (10472319).

Almost surely, 2214120134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214120134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251335656).

214120134 is an abundant number, since it is smaller than the sum of its proper divisors (288551178).

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

214120134 is a wasteful number, since it uses less digits than its factorization.

214120134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16341 (or 16338 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214120134 is about 14632.8443578137. The cubic root of 214120134 is about 598.2543091985.

Adding to 214120134 its reverse (431021412), we get a palindrome (645141546).

The spelling of 214120134 in words is "two hundred fourteen million, one hundred twenty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2193 4386 6579 13158 16273 32546 48819 97638 146457 276641 292914 553282 699739 829923 1399478 1659846 2099217 2489769 4198434 4979538 6297651 11895563 12595302 23791126 35686689 71373378 107060067 214120134