Search a number
-
+
242170264 = 23731199701
BaseRepresentation
bin11100110111100…
…11100110011000
3121212200112011001
432123303212120
5443443422024
640010314344
76000261520
oct1633634630
9555615131
10242170264
11114776116
12691289b4
133b23091b
142423c680
15163d9244
hexe6f3998

242170264 has 64 divisors (see below), whose sum is σ = 539136000. Its totient is φ = 99792000.

The previous prime is 242170261. The next prime is 242170267. The reversal of 242170264 is 462071242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242170261) and next prime (242170267).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242170261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345114 + ... + 345814.

It is an arithmetic number, because the mean of its divisors is an integer number (8424000).

Almost surely, 2242170264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242170264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568000).

242170264 is an abundant number, since it is smaller than the sum of its proper divisors (296965736).

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

242170264 is a wasteful number, since it uses less digits than its factorization.

242170264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 242170264 is about 15561.8207160987. The cubic root of 242170264 is about 623.3140816560.

The spelling of 242170264 in words is "two hundred forty-two million, one hundred seventy thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 199 217 248 398 434 701 796 868 1393 1402 1592 1736 2786 2804 4907 5572 5608 6169 9814 11144 12338 19628 21731 24676 39256 43183 43462 49352 86366 86924 139499 152117 172732 173848 278998 304234 345464 557996 608468 976493 1115992 1216936 1952986 3905972 4324469 7811944 8648938 17297876 30271283 34595752 60542566 121085132 242170264