Search a number
-
+
242226150 = 23521639907
BaseRepresentation
bin11100111000000…
…01001111100110
3121212210100210220
432130001033212
5444002214100
640011425210
76000613455
oct1634011746
9555710726
10242226150
11114804101
1269155206
133b2501aa
1424254b9c
15163eaaa0
hexe7013e6

242226150 has 48 divisors (see below), whose sum is σ = 604467264. Its totient is φ = 64190880.

The previous prime is 242226119. The next prime is 242226167. The reversal of 242226150 is 51622242.

It is a happy number.

242226150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242226150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19497 + ... + 29403.

It is an arithmetic number, because the mean of its divisors is an integer number (12593068).

Almost surely, 2242226150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242226150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302233632).

242226150 is an abundant number, since it is smaller than the sum of its proper divisors (362241114).

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

242226150 is a wasteful number, since it uses less digits than its factorization.

242226150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10085 (or 10080 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 242226150 is about 15563.6162250295. The cubic root of 242226150 is about 623.3620256810.

Adding to 242226150 its reverse (51622242), we get a palindrome (293848392).

The spelling of 242226150 in words is "two hundred forty-two million, two hundred twenty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 163 326 489 815 978 1630 2445 4075 4890 8150 9907 12225 19814 24450 29721 49535 59442 99070 148605 247675 297210 495350 743025 1486050 1614841 3229682 4844523 8074205 9689046 16148410 24222615 40371025 48445230 80742050 121113075 242226150