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144220100 = 22521519551
BaseRepresentation
bin10001001100010…
…01111111000100
3101001101010210012
420212021333010
5243410020400
622151045352
73400564523
oct1046117704
9331333705
10144220100
1174454772
1240370858
1323b5714b
14152224ba
15c9dbd35
hex8989fc4

144220100 has 36 divisors (see below), whose sum is σ = 315063168. Its totient is φ = 57300000.

The previous prime is 144220081. The next prime is 144220123. The reversal of 144220100 is 1022441.

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, 10325 + ... + 19875.

Almost surely, 2144220100 is an apocalyptic number.

144220100 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 144220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157531584).

144220100 is an abundant number, since it is smaller than the sum of its proper divisors (170843068).

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

144220100 is a wasteful number, since it uses less digits than its factorization.

144220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9716 (or 9709 counting only the distinct ones).

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

The square root of 144220100 is about 12009.1673316679. The cubic root of 144220100 is about 524.4151915932.

Adding to 144220100 its reverse (1022441), we get a palindrome (145242541).

The spelling of 144220100 in words is "one hundred forty-four million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1510 3020 3775 7550 9551 15100 19102 38204 47755 95510 191020 238775 477550 955100 1442201 2884402 5768804 7211005 14422010 28844020 36055025 72110050 144220100