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142200224 = 2529314943
BaseRepresentation
bin10000111100111…
…00110110100000
3100220120112000222
420132130312200
5242400401344
622035502212
73344452625
oct1036346640
9326515028
10142200224
11732a5151
123b757968
13235ca95a
1414c5834c
15c73d5ee
hex879cda0

142200224 has 48 divisors (see below), whose sum is σ = 299013120. Its totient is φ = 66420480.

The previous prime is 142200221. The next prime is 142200229. The reversal of 142200224 is 422002241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (142200221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26297 + ... + 31239.

It is an arithmetic number, because the mean of its divisors is an integer number (6229440).

Almost surely, 2142200224 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 142200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149506560).

142200224 is an abundant number, since it is smaller than the sum of its proper divisors (156812896).

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

142200224 is a wasteful number, since it uses less digits than its factorization.

142200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 142200224 is about 11924.7735408267. The cubic root of 142200224 is about 521.9554382281.

Adding to 142200224 its reverse (422002241), we get a palindrome (564202465).

The spelling of 142200224 in words is "one hundred forty-two million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 116 124 232 248 464 496 899 928 992 1798 3596 4943 7192 9886 14384 19772 28768 39544 79088 143347 153233 158176 286694 306466 573388 612932 1146776 1225864 2293552 2451728 4443757 4587104 4903456 8887514 17775028 35550056 71100112 142200224