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242422254 = 233192310273
BaseRepresentation
bin11100111001100…
…01000111101110
3121220011022211000
432130301013232
5444030003004
640015541130
76002361264
oct1634610756
9556138730
10242422254
11114928478
126922a7a6
133b2bb529
14242a6434
1516438c39
hexe7311ee

242422254 has 64 divisors (see below), whose sum is σ = 591782400. Its totient is φ = 73218816.

The previous prime is 242422253. The next prime is 242422259. The reversal of 242422254 is 452224242.

242422254 is digitally balanced in base 3, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242422253) 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, 18462 + ... + 28734.

It is an arithmetic number, because the mean of its divisors is an integer number (9246600).

Almost surely, 2242422254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242422254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295891200).

242422254 is an abundant number, since it is smaller than the sum of its proper divisors (349360146).

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

242422254 is a wasteful number, since it uses less digits than its factorization.

242422254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10326 (or 10320 counting only the distinct ones).

The product of its digits is 10240, while the sum is 27.

The square root of 242422254 is about 15569.9150286699. The cubic root of 242422254 is about 623.5302029709.

Adding to 242422254 its reverse (452224242), we get a palindrome (694646496).

The spelling of 242422254 in words is "two hundred forty-two million, four hundred twenty-two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 621 874 1026 1242 1311 2622 3933 7866 10273 11799 20546 23598 30819 61638 92457 184914 195187 236279 277371 390374 472558 554742 585561 708837 1171122 1417674 1756683 2126511 3513366 4253022 4489301 5270049 6379533 8978602 10540098 12759066 13467903 26935806 40403709 80807418 121211127 242422254