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142332200 = 23521096529
BaseRepresentation
bin10000111101111…
…01000100101000
3100220211020001222
420132331010220
5242414112300
622042401212
73345542453
oct1036750450
9326736058
10142332200
117338531a
123b800208
1323645a4a
1414c9049a
15c767785
hex87bd128

142332200 has 48 divisors (see below), whose sum is σ = 334009500. Its totient is φ = 56401920.

The previous prime is 142332199. The next prime is 142332221. The reversal of 142332200 is 2233241.

It can be written as a sum of positive squares in 6 ways, for example, as 32878756 + 109453444 = 5734^2 + 10462^2 .

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 11 ways as a sum of consecutive naturals, for example, 18536 + ... + 25064.

Almost surely, 2142332200 is an apocalyptic number.

142332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167004750).

142332200 is an abundant number, since it is smaller than the sum of its proper divisors (191677300).

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

142332200 is a wasteful number, since it uses less digits than its factorization.

142332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6654 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 142332200 is about 11930.3059474600. The cubic root of 142332200 is about 522.1168638786.

Adding to 142332200 its reverse (2233241), we get a palindrome (144565441).

The spelling of 142332200 in words is "one hundred forty-two million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 6529 10900 13058 21800 26116 32645 52232 65290 130580 163225 261160 326450 652900 711661 1305800 1423322 2846644 3558305 5693288 7116610 14233220 17791525 28466440 35583050 71166100 142332200