Search a number
-
+
242204430 = 23513718747
BaseRepresentation
bin11100110111110…
…11111100001110
3121212202021000110
432123323330032
5444001020210
640011140450
76000463236
oct1633737416
9555667013
10242204430
11114799856
1269144726
133b243340
142424acc6
15163e4420
hexe6fbf0e

242204430 has 64 divisors (see below), whose sum is σ = 634894848. Its totient is φ = 58773120.

The previous prime is 242204393. The next prime is 242204447. The reversal of 242204430 is 34402242.

242204430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242204397 and 242204406.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23317 + ... + 32063.

It is an arithmetic number, because the mean of its divisors is an integer number (9920232).

Almost surely, 2242204430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242204430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317447424).

242204430 is an abundant number, since it is smaller than the sum of its proper divisors (392690418).

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

242204430 is a wasteful number, since it uses less digits than its factorization.

242204430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8841.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 242204430 is about 15562.9184281098. The cubic root of 242204430 is about 623.3433931924.

Adding to 242204430 its reverse (34402242), we get a palindrome (276606672).

The spelling of 242204430 in words is "two hundred forty-two million, two hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 142 195 213 355 390 426 710 923 1065 1846 2130 2769 4615 5538 8747 9230 13845 17494 26241 27690 43735 52482 87470 113711 131205 227422 262410 341133 568555 621037 682266 1137110 1242074 1705665 1863111 3105185 3411330 3726222 6210370 8073481 9315555 16146962 18631110 24220443 40367405 48440886 80734810 121102215 242204430