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242136444 = 223119718911
BaseRepresentation
bin11100110111010…
…11010101111100
3121212121210202110
432123223111330
5443441331234
640005454020
76000061104
oct1633532574
9555553673
10242136444
11114752770
1269111310
133b21b404
1424230204
15163ce1e9
hexe6eb57c

242136444 has 48 divisors (see below), whose sum is σ = 622734336. Its totient is φ = 72614400.

The previous prime is 242136431. The next prime is 242136451. The reversal of 242136444 is 444631242.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3349 + ... + 22259.

It is an arithmetic number, because the mean of its divisors is an integer number (12973632).

Almost surely, 2242136444 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 242136444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311367168).

242136444 is an abundant number, since it is smaller than the sum of its proper divisors (380597892).

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

242136444 is a wasteful number, since it uses less digits than its factorization.

242136444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19026 (or 19024 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 242136444 is about 15560.7340443824. The cubic root of 242136444 is about 623.2850642431.

Adding to 242136444 its reverse (444631242), we get a palindrome (686767686).

The spelling of 242136444 in words is "two hundred forty-two million, one hundred thirty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4268 6402 12804 18911 37822 56733 75644 113466 208021 226932 416042 624063 832084 1248126 1834367 2496252 3668734 5503101 7337468 11006202 20178037 22012404 40356074 60534111 80712148 121068222 242136444