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142304224 = 2519593967
BaseRepresentation
bin10000111101101…
…10001111100000
3100220202210200211
420132312033200
5242412213344
622042023504
73345365056
oct1036661740
9326683624
10142304224
11733662a7
123b7a7b94
13236360aa
1414c841d6
15c75e334
hex87b63e0

142304224 has 48 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 66248064.

The previous prime is 142304221. The next prime is 142304237. The reversal of 142304224 is 422403241.

It is a happy number.

142304224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 142304195 and 142304204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142304221) 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, 33889 + ... + 37855.

It is an arithmetic number, because the mean of its divisors is an integer number (6249600).

Almost surely, 2142304224 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 142304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

142304224 is an abundant number, since it is smaller than the sum of its proper divisors (157676576).

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

142304224 is a wasteful number, since it uses less digits than its factorization.

142304224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4047 counting only the distinct ones).

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

The square root of 142304224 is about 11929.1334136223. The cubic root of 142304224 is about 522.0826535395.

Adding to 142304224 its reverse (422403241), we get a palindrome (564707465).

The spelling of 142304224 in words is "one hundred forty-two million, three hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 608 944 1121 1888 2242 3967 4484 7934 8968 15868 17936 31736 35872 63472 75373 126944 150746 234053 301492 468106 602984 936212 1205968 1872424 2411936 3744848 4447007 7489696 8894014 17788028 35576056 71152112 142304224