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440222442 = 231121095563
BaseRepresentation
bin11010001111010…
…100001011101010
31010200100121122220
4122033110023222
51400144104232
6111403254510
713623554232
oct3217241352
91120317586
10440222442
11206548700
1210351a436
137028546a
1442674cc2
15289ab42c
hex1a3d42ea

440222442 has 48 divisors (see below), whose sum is σ = 976815840. Its totient is φ = 132153120.

The previous prime is 440222441. The next prime is 440222467. The reversal of 440222442 is 244222044.

It is not an unprimeable number, because it can be changed into a prime (440222441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76353 + ... + 81915.

It is an arithmetic number, because the mean of its divisors is an integer number (20350330).

Almost surely, 2440222442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440222442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488407920).

440222442 is an abundant number, since it is smaller than the sum of its proper divisors (536593398).

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

440222442 is a wasteful number, since it uses less digits than its factorization.

440222442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5699 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 440222442 is about 20981.4785465658. The cubic root of 440222442 is about 760.7186427336.

Adding to 440222442 its reverse (244222044), we get a palindrome (684444486).

It can be divided in two parts, 44022 and 2442, that added together give a palindrome (46464).

The spelling of 440222442 in words is "four hundred forty million, two hundred twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 109 121 218 242 327 363 654 726 1199 2398 3597 5563 7194 11126 13189 16689 26378 33378 39567 61193 79134 122386 183579 367158 606367 673123 1212734 1346246 1819101 2019369 3638202 4038738 6670037 13340074 20010111 40020222 73370407 146740814 220111221 440222442