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214038630 = 232513612999
BaseRepresentation
bin11001100000111…
…11100001100110
3112220202021210200
430300133201212
5414243214010
633123331330
75206204221
oct1460374146
9486667720
10214038630
11aa901433
125b820b46
13354611a0
14205d85b8
1513bcdcc0
hexcc1f866

214038630 has 96 divisors (see below), whose sum is σ = 609336000. Its totient is φ = 51805440.

The previous prime is 214038593. The next prime is 214038631. The reversal of 214038630 is 36830412.

It is a happy number.

214038630 is a `hidden beast` number, since 21 + 4 + 0 + 3 + 8 + 630 = 666.

214038630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214038594 and 214038603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214038631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69871 + ... + 72869.

It is an arithmetic number, because the mean of its divisors is an integer number (6347250).

Almost surely, 2214038630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214038630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668000).

214038630 is an abundant number, since it is smaller than the sum of its proper divisors (395297370).

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

214038630 is a wasteful number, since it uses less digits than its factorization.

214038630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3083 counting only the distinct ones).

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

The square root of 214038630 is about 14630.0591249660. The cubic root of 214038630 is about 598.1783918363.

The spelling of 214038630 in words is "two hundred fourteen million, thirty-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 61 65 78 90 117 122 130 183 195 234 305 366 390 549 585 610 793 915 1098 1170 1586 1830 2379 2745 2999 3965 4758 5490 5998 7137 7930 8997 11895 14274 14995 17994 23790 26991 29990 35685 38987 44985 53982 71370 77974 89970 116961 134955 182939 194935 233922 269910 350883 365878 389870 548817 584805 701766 914695 1097634 1169610 1646451 1754415 1829390 2378207 2744085 3292902 3508830 4756414 5488170 7134621 8232255 11891035 14269242 16464510 21403863 23782070 35673105 42807726 71346210 107019315 214038630