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142221200 = 24521132323
BaseRepresentation
bin10000111101000…
…01111110010000
3100220121120210212
420132201332100
5242402034300
622040143252
73344601032
oct1036417620
9326546725
10142221200
1173309990
123b767b28
1323607374
1414c61c52
15c744935
hex87a1f90

142221200 has 60 divisors (see below), whose sum is σ = 372760368. Its totient is φ = 51715200.

The previous prime is 142221197. The next prime is 142221203. The reversal of 142221200 is 2122241.

It is an interprime number because it is at equal distance from previous prime (142221197) and next prime (142221203).

It is not an unprimeable number, because it can be changed into a prime (142221203) 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 11 ways as a sum of consecutive naturals, for example, 11762 + ... + 20561.

Almost surely, 2142221200 is an apocalyptic number.

142221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142221200 is an abundant number, since it is smaller than the sum of its proper divisors (230539168).

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

142221200 is a wasteful number, since it uses less digits than its factorization.

142221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32352 (or 32341 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 142221200 is about 11925.6530219523. The cubic root of 142221200 is about 521.9811015701.

Adding to 142221200 its reverse (2122241), we get a palindrome (144343441).

It can be divided in two parts, 1422 and 21200, that added together give a palindrome (22622).

The spelling of 142221200 in words is "one hundred forty-two million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 32323 64646 129292 161615 258584 323230 355553 517168 646460 711106 808075 1292920 1422212 1616150 1777765 2585840 2844424 3232300 3555530 5688848 6464600 7111060 8888825 12929200 14222120 17777650 28444240 35555300 71110600 142221200