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242244444 = 223132296781
BaseRepresentation
bin11100111000001…
…01101101011100
3121212211021220110
432130011231130
5444003310234
640012050020
76001021011
oct1634055534
9555737813
10242244444
11114816922
1269163910
133b258610
142425b708
15164011e9
hexe705b5c

242244444 has 48 divisors (see below), whose sum is σ = 611465120. Its totient is φ = 74200320.

The previous prime is 242244421. The next prime is 242244449. The reversal of 242244444 is 444442242.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242244449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32334 + ... + 39114.

Almost surely, 2242244444 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 242244444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305732560).

242244444 is an abundant number, since it is smaller than the sum of its proper divisors (369220676).

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

242244444 is a wasteful number, since it uses less digits than its factorization.

242244444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7028 counting only the distinct ones).

The product of its digits is 32768, while the sum is 30.

The square root of 242244444 is about 15564.2039308151. The cubic root of 242244444 is about 623.3777183134.

Adding to 242244444 its reverse (444442242), we get a palindrome (686686686).

The spelling of 242244444 in words is "two hundred forty-two million, two hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 229 458 687 916 1374 2748 2977 5954 6781 8931 11908 13562 17862 20343 27124 35724 40686 81372 88153 176306 264459 352612 528918 1057836 1552849 3105698 4658547 6211396 9317094 18634188 20187037 40374074 60561111 80748148 121122222 242244444