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242182530 = 232523311549
BaseRepresentation
bin11100110111101…
…10100110000010
3121212201010222100
432123312212002
5443444320110
640010451230
76000342342
oct1633664602
9555633870
10242182530
11114784357
1269133b16
133b236395
1424242d22
15163dcbc0
hexe6f6982

242182530 has 48 divisors (see below), whose sum is σ = 632431800. Its totient is φ = 64299264.

The previous prime is 242182517. The next prime is 242182543. The reversal of 242182530 is 35281242.

It is an interprime number because it is at equal distance from previous prime (242182517) and next prime (242182543).

It can be written as a sum of positive squares in 4 ways, for example, as 217769049 + 24413481 = 14757^2 + 4941^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242182494 and 242182503.

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, 15196 + ... + 26744.

Almost surely, 2242182530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242182530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316215900).

242182530 is an abundant number, since it is smaller than the sum of its proper divisors (390249270).

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

242182530 is a wasteful number, since it uses less digits than its factorization.

242182530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795 (or 11792 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 242182530 is about 15562.2148166641. The cubic root of 242182530 is about 623.3246051631.

The spelling of 242182530 in words is "two hundred forty-two million, one hundred eighty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 233 466 699 1165 1398 2097 2330 3495 4194 6990 10485 11549 20970 23098 34647 57745 69294 103941 115490 173235 207882 346470 519705 1039410 2690917 5381834 8072751 13454585 16145502 24218253 26909170 40363755 48436506 80727510 121091265 242182530