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420440022 = 2321710712841
BaseRepresentation
bin11001000011110…
…110011111010110
31002022010120021200
4121003312133112
51330113040042
6105415253330
713263452442
oct3103663726
91068116250
10420440022
111a63668a2
12b897a246
136914a0a2
143dba5822
1526d9ec4c
hex190f67d6

420440022 has 48 divisors (see below), whose sum is σ = 973629072. Its totient is φ = 130659840.

The previous prime is 420440003. The next prime is 420440047. The reversal of 420440022 is 220044024.

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 = 420439977 and 420440004.

It is a congruent number.

It is an unprimeable number.

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, 26322 + ... + 39162.

It is an arithmetic number, because the mean of its divisors is an integer number (20283939).

Almost surely, 2420440022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420440022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486814536).

420440022 is an abundant number, since it is smaller than the sum of its proper divisors (553189050).

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

420440022 is a wasteful number, since it uses less digits than its factorization.

420440022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12973 (or 12970 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 420440022 is about 20504.6341591358. The cubic root of 420440022 is about 749.1486766971.

Adding to 420440022 its reverse (220044024), we get a palindrome (640484046).

The spelling of 420440022 in words is "four hundred twenty million, four hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 107 153 214 306 321 642 963 1819 1926 3638 5457 10914 12841 16371 25682 32742 38523 77046 115569 218297 231138 436594 654891 1309782 1373987 1964673 2747974 3929346 4121961 8243922 12365883 23357779 24731766 46715558 70073337 140146674 210220011 420440022