Search a number
-
+
10304004222 = 233536159021
BaseRepresentation
bin10011001100010101…
…01010000001111110
3222121002210122112000
421212022222001332
5132100311113342
64422242323130
7513225406431
oct114612520176
928532718460
1010304004222
114408383976
121bb69594a6
13c8298aa25
146da699818
1540490d44c
hex2662aa07e

10304004222 has 64 divisors (see below), whose sum is σ = 23712678720. Its totient is φ = 3314563200.

The previous prime is 10304004187. The next prime is 10304004233. The reversal of 10304004222 is 22240040301.

10304004222 is a `hidden beast` number, since 10 + 30 + 400 + 4 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10304004195 and 10304004204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145072 + ... + 204092.

It is an arithmetic number, because the mean of its divisors is an integer number (370510605).

Almost surely, 210304004222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304004222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11856339360).

10304004222 is an abundant number, since it is smaller than the sum of its proper divisors (13408674498).

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

10304004222 is a wasteful number, since it uses less digits than its factorization.

10304004222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59146 (or 59140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10304004222 its reverse (22240040301), we get a palindrome (32544044523).

The spelling of 10304004222 in words is "ten billion, three hundred four million, four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 53 54 61 106 122 159 183 318 366 477 549 954 1098 1431 1647 2862 3233 3294 6466 9699 19398 29097 58194 59021 87291 118042 174582 177063 354126 531189 1062378 1593567 3128113 3187134 3600281 6256226 7200562 9384339 10800843 18768678 21601686 28153017 32402529 56306034 64805058 84459051 97207587 168918102 190814893 194415174 381629786 572444679 1144889358 1717334037 3434668074 5152002111 10304004222