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242284460 = 225114992207
BaseRepresentation
bin11100111000011…
…11011110101100
3121212220022210112
432130033132230
5444011100320
640012555152
76001245455
oct1634173654
9555808715
10242284460
111148439a0
1269182ab8
133b2708b2
142426c12c
151640cec5
hexe70f7ac

242284460 has 48 divisors (see below), whose sum is σ = 556416000. Its totient is φ = 87887040.

The previous prime is 242284453. The next prime is 242284481. The reversal of 242284460 is 64482242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108677 + ... + 110883.

It is an arithmetic number, because the mean of its divisors is an integer number (11592000).

Almost surely, 2242284460 is an apocalyptic number.

242284460 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 242284460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278208000).

242284460 is an abundant number, since it is smaller than the sum of its proper divisors (314131540).

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

242284460 is a wasteful number, since it uses less digits than its factorization.

242284460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 242284460 is about 15565.4893915996. The cubic root of 242284460 is about 623.4120413701.

The spelling of 242284460 in words is "two hundred forty-two million, two hundred eighty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 499 998 1996 2207 2495 4414 4990 5489 8828 9980 10978 11035 21956 22070 24277 27445 44140 48554 54890 97108 109780 121385 242770 485540 1101293 2202586 4405172 5506465 11012930 12114223 22025860 24228446 48456892 60571115 121142230 242284460