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142224100 = 22521422241
BaseRepresentation
bin10000111101000…
…10101011100100
3100220121201210021
420132202223210
5242402132400
622040204524
73344612344
oct1036425344
9326551707
10142224100
1173311087
123b769744
1323608795
1414c62d24
15c74571a
hex87a2ae4

142224100 has 18 divisors (see below), whose sum is σ = 308626514. Its totient is φ = 56889600.

The previous prime is 142224073. The next prime is 142224119. The reversal of 142224100 is 1422241.

142224100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 29354724 + 112869376 = 5418^2 + 10624^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 711021 + ... + 711220.

Almost surely, 2142224100 is an apocalyptic number.

142224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142224100 is an abundant number, since it is smaller than the sum of its proper divisors (166402414).

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

142224100 is a wasteful number, since it uses less digits than its factorization.

142224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422255 (or 1422248 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 142224100 is about 11925.7746079657. The cubic root of 142224100 is about 521.9846494118.

Adding to 142224100 its reverse (1422241), we get a palindrome (143646341).

Multiplying 142224100 by its reverse (1422241), we get a square (202276946208100 = 142224102).

142224100 divided by its reverse (1422241) gives a square (100 = 102).

The spelling of 142224100 in words is "one hundred forty-two million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1422241 2844482 5688964 7111205 14222410 28444820 35556025 71112050 142224100