Search a number
-
+
30222192 = 243711131737
BaseRepresentation
bin111001101001…
…0011101110000
32002212110001110
41303102131300
530214102232
62555433320
7514612230
oct163223560
962773043
1030222192
1116072420
12a155840
136352170
144029cc0
1529beacc
hex1cd2770

30222192 has 320 divisors, whose sum is σ = 113992704. Its totient is φ = 6635520.

The previous prime is 30222187. The next prime is 30222211. The reversal of 30222192 is 29122203.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 816798 + ... + 816834.

Almost surely, 230222192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30222192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

30222192 is an abundant number, since it is smaller than the sum of its proper divisors (83770512).

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

30222192 is a wasteful number, since it uses less digits than its factorization.

30222192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 30222192 is about 5497.4714187524. The cubic root of 30222192 is about 311.4884780608.

Adding to 30222192 its reverse (29122203), we get a palindrome (59344395).

It can be divided in two parts, 30 and 222192, that added together give a palindrome (222222).

The spelling of 30222192 in words is "thirty million, two hundred twenty-two thousand, one hundred ninety-two".