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244200100 = 22524159561
BaseRepresentation
bin11101000111000…
…11001010100100
3122000111122120011
432203203022210
51000003400400
640122020004
76023444434
oct1643431244
9560448504
10244200100
11115932171
1269947604
133b791801
142460a2c4
151668a8ba
hexe8e32a4

244200100 has 36 divisors (see below), whose sum is σ = 542848068. Its totient is φ = 95296000.

The previous prime is 244200071. The next prime is 244200107. The reversal of 244200100 is 1002442.

It can be written as a sum of positive squares in 6 ways, for example, as 652864 + 243547236 = 808^2 + 15606^2 .

It is not an unprimeable number, because it can be changed into a prime (244200107) 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, 25681 + ... + 33880.

It is an arithmetic number, because the mean of its divisors is an integer number (15079113).

Almost surely, 2244200100 is an apocalyptic number.

244200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244200100 is an abundant number, since it is smaller than the sum of its proper divisors (298647968).

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

244200100 is a wasteful number, since it uses less digits than its factorization.

244200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59616 (or 59609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 244200100 is about 15626.9030841047. The cubic root of 244200100 is about 625.0507478793.

Adding to 244200100 its reverse (1002442), we get a palindrome (245202542).

The spelling of 244200100 in words is "two hundred forty-four million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 59561 119122 238244 297805 595610 1191220 1489025 2442001 2978050 4884002 5956100 9768004 12210005 24420010 48840020 61050025 122100050 244200100