Search a number
-
+
242244618 = 237112512089
BaseRepresentation
bin11100111000001…
…01110000001010
3121212211022010220
432130011300022
5444003311433
640012050510
76001021350
oct1634056012
9555738126
10242244618
11114816a70
1269163a36
133b258715
142425b7d0
15164012b3
hexe705c0a

242244618 has 64 divisors (see below), whose sum is σ = 606735360. Its totient is φ = 62640000.

The previous prime is 242244559. The next prime is 242244631. The reversal of 242244618 is 816442242.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114918 + ... + 117006.

It is an arithmetic number, because the mean of its divisors is an integer number (9480240).

Almost surely, 2242244618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242244618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303367680).

242244618 is an abundant number, since it is smaller than the sum of its proper divisors (364490742).

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

242244618 is a wasteful number, since it uses less digits than its factorization.

242244618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363.

The product of its digits is 24576, while the sum is 33.

The square root of 242244618 is about 15564.2095205635. The cubic root of 242244618 is about 623.3778675672.

The spelling of 242244618 in words is "two hundred forty-two million, two hundred forty-four thousand, six hundred eighteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 251 462 502 753 1506 1757 2089 2761 3514 4178 5271 5522 6267 8283 10542 12534 14623 16566 19327 22979 29246 38654 43869 45958 57981 68937 87738 115962 137874 160853 321706 482559 524339 965118 1048678 1573017 3146034 3670373 5767729 7340746 11011119 11535458 17303187 22022238 34606374 40374103 80748206 121122309 242244618