Search a number
-
+
242215660 = 225176311129
BaseRepresentation
bin11100110111111…
…10101011101100
3121212202211102101
432123332223230
5444001400120
640011304444
76000541051
oct1633765354
9555684371
10242215660
111147a7235
126914b124
133b24849b
1424251028
15163e790a
hexe6feaec

242215660 has 48 divisors (see below), whose sum is σ = 539904960. Its totient is φ = 90961920.

The previous prime is 242215657. The next prime is 242215661. The reversal of 242215660 is 66512242.

It is not an unprimeable number, because it can be changed into a prime (242215661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213976 + ... + 215104.

It is an arithmetic number, because the mean of its divisors is an integer number (11248020).

Almost surely, 2242215660 is an apocalyptic number.

242215660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242215660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269952480).

242215660 is an abundant number, since it is smaller than the sum of its proper divisors (297689300).

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

242215660 is a wasteful number, since it uses less digits than its factorization.

242215660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 242215660 is about 15563.2792174400. The cubic root of 242215660 is about 623.3530269800.

The spelling of 242215660 in words is "two hundred forty-two million, two hundred fifteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 631 1129 1262 2258 2524 3155 4516 5645 6310 10727 11290 12620 19193 21454 22580 38386 42908 53635 76772 95965 107270 191930 214540 383860 712399 1424798 2849596 3561995 7123990 12110783 14247980 24221566 48443132 60553915 121107830 242215660