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242130132 = 223227724281
BaseRepresentation
bin11100110111010…
…01110011010100
3121212121111002200
432123221303110
5443441131012
640005404500
76000033516
oct1633516324
9555544080
10242130132
11114748a52
1269109730
133b21858a
142422bbb6
15163cc3dc
hexe6e9cd4

242130132 has 36 divisors (see below), whose sum is σ = 614286036. Its totient is φ = 80415360.

The previous prime is 242130121. The next prime is 242130137. The reversal of 242130132 is 231031242.

It can be written as a sum of positive squares in 2 ways, for example, as 147768336 + 94361796 = 12156^2 + 9714^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242130137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2169 + ... + 22112.

It is an arithmetic number, because the mean of its divisors is an integer number (17063501).

Almost surely, 2242130132 is an apocalyptic number.

It is an amenable number.

242130132 is an abundant number, since it is smaller than the sum of its proper divisors (372155904).

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

242130132 is a wasteful number, since it uses less digits than its factorization.

242130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24568 (or 24563 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 242130132 is about 15560.5312248650. The cubic root of 242130132 is about 623.2796482754.

Adding to 242130132 its reverse (231031242), we get a palindrome (473161374).

The spelling of 242130132 in words is "two hundred forty-two million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 277 554 831 1108 1662 2493 3324 4986 9972 24281 48562 72843 97124 145686 218529 291372 437058 874116 6725837 13451674 20177511 26903348 40355022 60532533 80710044 121065066 242130132