Search a number
-
+
242253330 = 235112692729
BaseRepresentation
bin11100111000001…
…11111000010010
3121212211202002120
432130013320102
5444004101310
640012155110
76001055634
oct1634077022
9555752076
10242253330
11114822570
1269168a96
133b25c687
1424260a54
1516403b70
hexe707e12

242253330 has 64 divisors (see below), whose sum is σ = 636854400. Its totient is φ = 58488320.

The previous prime is 242253317. The next prime is 242253343. The reversal of 242253330 is 33352242.

242253330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242253317) and next prime (242253343).

It is a self number, because there is not a number n which added to its sum of digits gives 242253330.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87406 + ... + 90134.

It is an arithmetic number, because the mean of its divisors is an integer number (9950850).

Almost surely, 2242253330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242253330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318427200).

242253330 is an abundant number, since it is smaller than the sum of its proper divisors (394601070).

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

242253330 is a wasteful number, since it uses less digits than its factorization.

242253330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019.

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 242253330 is about 15564.4893909180. The cubic root of 242253330 is about 623.3853404582.

The spelling of 242253330 in words is "two hundred forty-two million, two hundred fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 269 330 538 807 1345 1614 2690 2729 2959 4035 5458 5918 8070 8187 8877 13645 14795 16374 17754 27290 29590 30019 40935 44385 60038 81870 88770 90057 150095 180114 300190 450285 734101 900570 1468202 2202303 3670505 4404606 7341010 8075111 11011515 16150222 22023030 24225333 40375555 48450666 80751110 121126665 242253330