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242132202 = 232132334441
BaseRepresentation
bin11100110111010…
…10010011101010
3121212121120221100
432123222103222
5443441212302
640005422230
76000042534
oct1633522352
9555546840
10242132202
1111474a564
126910a976
133b2194c0
142422c854
15163ccd1c
hexe6ea4ea

242132202 has 48 divisors (see below), whose sum is σ = 567527688. Its totient is φ = 74165760.

The previous prime is 242132197. The next prime is 242132239. The reversal of 242132202 is 202231242.

It can be written as a sum of positive squares in 4 ways, for example, as 116445681 + 125686521 = 10791^2 + 11211^2 .

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

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, 52302 + ... + 56742.

Almost surely, 2242132202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242132202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283763844).

242132202 is an abundant number, since it is smaller than the sum of its proper divisors (325395486).

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

242132202 is a wasteful number, since it uses less digits than its factorization.

242132202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4695 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242132202 is about 15560.5977391616. The cubic root of 242132202 is about 623.2814244349.

Adding to 242132202 its reverse (202231242), we get a palindrome (444363444).

The spelling of 242132202 in words is "two hundred forty-two million, one hundred thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 233 234 466 699 1398 2097 3029 4194 4441 6058 8882 9087 13323 18174 26646 27261 39969 54522 57733 79938 115466 173199 346398 519597 1034753 1039194 2069506 3104259 6208518 9312777 13451789 18625554 26903578 40355367 80710734 121066101 242132202