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242042022 = 232176112967
BaseRepresentation
bin11100110110101…
…00010010100110
3121212110000020100
432123110102212
5443430321042
640003444530
75666215605
oct1633242246
9555400210
10242042022
11114698832
1269086746
133b1b7441
1424207a3c
15163b124c
hexe6d44a6

242042022 has 48 divisors (see below), whose sum is σ = 564419232. Its totient is φ = 74684160.

The previous prime is 242042011. The next prime is 242042071. The reversal of 242042022 is 220240242.

242042022 is a `hidden beast` number, since 242 + 0 + 420 + 2 + 2 = 666.

242042022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 242041986 and 242042004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12183 + ... + 25149.

It is an arithmetic number, because the mean of its divisors is an integer number (11758734).

Almost surely, 2242042022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242042022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282209616).

242042022 is an abundant number, since it is smaller than the sum of its proper divisors (322377210).

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

242042022 is a wasteful number, since it uses less digits than its factorization.

242042022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13053 (or 13050 counting only the distinct ones).

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

The square root of 242042022 is about 15557.6997657109. The cubic root of 242042022 is about 623.2040362728.

Adding to 242042022 its reverse (220240242), we get a palindrome (462282264).

The spelling of 242042022 in words is "two hundred forty-two million, forty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 6222 9333 12967 18666 25934 38901 77802 116703 220439 233406 440878 661317 790987 1322634 1581974 1983951 2372961 3967902 4745922 7118883 13446779 14237766 26893558 40340337 80680674 121021011 242042022