Search a number
-
+
242231440 = 24511275263
BaseRepresentation
bin11100111000000…
…10100010010000
3121212210122001211
432130002202100
5444002401230
640011505504
76000635053
oct1634024220
9555718054
10242231440
11114808080
1269158294
133b252719
1424256a9a
15163ec42a
hexe702890

242231440 has 40 divisors (see below), whose sum is σ = 614389248. Its totient is φ = 88083840.

The previous prime is 242231393. The next prime is 242231441. The reversal of 242231440 is 44132242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (242231441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136752 + ... + 138511.

Almost surely, 2242231440 is an apocalyptic number.

242231440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242231440 is an abundant number, since it is smaller than the sum of its proper divisors (372157808).

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

242231440 is a wasteful number, since it uses less digits than its factorization.

242231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275287 (or 275281 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 242231440 is about 15563.7861717514. The cubic root of 242231440 is about 623.3665635355.

Adding to 242231440 its reverse (44132242), we get a palindrome (286363682).

The spelling of 242231440 in words is "two hundred forty-two million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 275263 550526 1101052 1376315 2202104 2752630 3027893 4404208 5505260 6055786 11010520 12111572 15139465 22021040 24223144 30278930 48446288 60557860 121115720 242231440