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242226300 = 223527611061
BaseRepresentation
bin11100111000000…
…01010001111100
3121212210101000110
432130001101330
5444002220200
640011430020
76000614061
oct1634012174
9555711013
10242226300
11114804228
1269155310
133b250294
1424254c68
15163eab50
hexe70147c

242226300 has 72 divisors (see below), whose sum is σ = 702423792. Its totient is φ = 64448000.

The previous prime is 242226289. The next prime is 242226349. The reversal of 242226300 is 3622242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227770 + ... + 228830.

It is an arithmetic number, because the mean of its divisors is an integer number (9755886).

Almost surely, 2242226300 is an apocalyptic number.

242226300 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 242226300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351211896).

242226300 is an abundant number, since it is smaller than the sum of its proper divisors (460197492).

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

242226300 is a wasteful number, since it uses less digits than its factorization.

242226300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 242226300 is about 15563.6210439602. The cubic root of 242226300 is about 623.3621543545.

Adding to 242226300 its reverse (3622242), we get a palindrome (245848542).

The spelling of 242226300 in words is "two hundred forty-two million, two hundred twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 761 1061 1522 2122 2283 3044 3183 3805 4244 4566 5305 6366 7610 9132 10610 11415 12732 15220 15915 19025 21220 22830 26525 31830 38050 45660 53050 57075 63660 76100 79575 106100 114150 159150 228300 318300 807421 1614842 2422263 3229684 4037105 4844526 8074210 9689052 12111315 16148420 20185525 24222630 40371050 48445260 60556575 80742100 121113150 242226300