Search a number
-
+
130404222 = 233134312
BaseRepresentation
bin1111100010111…
…00111101111110
3100002101012222000
413301130331332
5231340413342
620535003130
73142263144
oct761347576
9302335860
10130404222
1167678693
12378094a6
132102a780
1413467594
15b6ad44c
hex7c5cf7e

130404222 has 48 divisors (see below), whose sum is σ = 312804240. Its totient is φ = 40031280.

The previous prime is 130404203. The next prime is 130404233. The reversal of 130404222 is 222404031.

It is a super-2 number, since 2×1304042222 = 34010522230850568, which contains 22 as substring.

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 = 130404195 and 130404204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302347 + ... + 302777.

It is an arithmetic number, because the mean of its divisors is an integer number (6516755).

Almost surely, 2130404222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130404222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156402120).

130404222 is an abundant number, since it is smaller than the sum of its proper divisors (182400018).

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

130404222 is an equidigital number, since it uses as much as digits as its factorization.

130404222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 449 counting only the distinct ones).

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

The square root of 130404222 is about 11419.4668001619. The cubic root of 130404222 is about 507.1042116234.

Adding to 130404222 its reverse (222404031), we get a palindrome (352808253).

The spelling of 130404222 in words is "one hundred thirty million, four hundred four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 431 702 862 1293 2586 3879 5603 7758 11206 11637 16809 23274 33618 50427 100854 151281 185761 302562 371522 557283 1114566 1671849 2414893 3343698 4829786 5015547 7244679 10031094 14489358 21734037 43468074 65202111 130404222