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2440198100 = 225237659513
BaseRepresentation
bin1001000101110010…
…0111011111010100
320022001122220111102
42101130213133110
514444142314400
61042045525232
7114320225114
oct22134473724
96261586442
102440198100
111042478a4a
12581273818
132cb721702
14192125044
15e43669d5
hex917277d4

2440198100 has 36 divisors (see below), whose sum is σ = 5438352444. Its totient is φ = 949697280.

The previous prime is 2440198093. The next prime is 2440198109. The reversal of 2440198100 is 18910442.

It can be written as a sum of positive squares in 6 ways, for example, as 485497156 + 1954700944 = 22034^2 + 44212^2 .

It is a super-2 number, since 2×24401981002 = 11909133534487220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440198109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 326057 + ... + 333456.

Almost surely, 22440198100 is an apocalyptic number.

2440198100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440198100 is an abundant number, since it is smaller than the sum of its proper divisors (2998154344).

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

2440198100 is a wasteful number, since it uses less digits than its factorization.

2440198100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659564 (or 659557 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 2440198100 is about 49398.3613088532. The cubic root of 2440198100 is about 1346.2995321720.

The spelling of 2440198100 in words is "two billion, four hundred forty million, one hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 659513 1319026 2638052 3297565 6595130 13190260 16487825 24401981 32975650 48803962 65951300 97607924 122009905 244019810 488039620 610049525 1220099050 2440198100