Search a number
-
+
30414222234 = 23211433354751
BaseRepresentation
bin11100010100110101…
…000011001110011010
32220111121201120110100
4130110311003032122
5444242020102414
621545550200230
72124456423564
oct342465031632
986447646410
1030414222234
1111998043360
125a897b3076
132b39146006
141687472334
15bd019b609
hex714d4339a

30414222234 has 48 divisors (see below), whose sum is σ = 72054388224. Its totient is φ = 9195120000.

The previous prime is 30414222211. The next prime is 30414222239. The reversal of 30414222234 is 43222241403.

30414222234 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 422 + 2 + 234 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30414222198 and 30414222207.

It is not an unprimeable number, because it can be changed into a prime (30414222239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91642 + ... + 263109.

It is an arithmetic number, because the mean of its divisors is an integer number (1501133088).

Almost surely, 230414222234 is an apocalyptic number.

30414222234 is an abundant number, since it is smaller than the sum of its proper divisors (41640165990).

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

30414222234 is a wasteful number, since it uses less digits than its factorization.

30414222234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355203 (or 355200 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30414222234 its reverse (43222241403), we get a palindrome (73636463637).

The spelling of 30414222234 in words is "thirty billion, four hundred fourteen million, two hundred twenty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 433 866 1299 2598 3897 4763 7794 9526 14289 28578 42867 85734 354751 709502 1064253 2128506 3192759 3902261 6385518 7804522 11706783 23413566 35120349 70240698 153607183 307214366 460821549 921643098 1382464647 1689679013 2764929294 3379358026 5069037039 10138074078 15207111117 30414222234