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242222022 = 23375910861
BaseRepresentation
bin11100111000000…
…00001111000110
3121212210011011000
432130000033012
5444002101042
640011354130
76000565440
oct1634001706
9555704130
10242222022
11114800a99
1269152946
133b24b353
1424253490
15163e974c
hexe7003c6

242222022 has 64 divisors (see below), whose sum is σ = 625651200. Its totient is φ = 68027040.

The previous prime is 242222011. The next prime is 242222023. The reversal of 242222022 is 220222242.

It is a happy number.

242222022 is a `hidden beast` number, since 2 + 422 + 220 + 22 = 666.

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 = 242221986 and 242222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242222023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16872 + ... + 27732.

It is an arithmetic number, because the mean of its divisors is an integer number (9775800).

Almost surely, 2242222022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312825600).

242222022 is an abundant number, since it is smaller than the sum of its proper divisors (383429178).

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

242222022 is a wasteful number, since it uses less digits than its factorization.

242222022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10938 (or 10932 counting only the distinct ones).

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

The square root of 242222022 is about 15563.4836074704. The cubic root of 242222022 is about 623.3584845644.

Adding to 242222022 its reverse (220222242), we get a palindrome (462444264).

It can be divided in two parts, 2422220 and 22, that added together give a palindrome (2422242).

The spelling of 242222022 in words is "two hundred forty-two million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 354 378 413 531 826 1062 1239 1593 2478 3186 3717 7434 10861 11151 21722 22302 32583 65166 76027 97749 152054 195498 228081 293247 456162 586494 640799 684243 1281598 1368486 1922397 2052729 3844794 4105458 4485593 5767191 8971186 11534382 13456779 17301573 26913558 34603146 40370337 80740674 121111011 242222022