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2270504100 = 2235253142799
BaseRepresentation
bin1000011101010101…
…0010010010100100
312212020100120002110
42013111102102210
514122222112400
61013144441020
7110156652324
oct20725222244
95766316073
102270504100
11a65705377
12534479170
132a2518767
14177791284
15d44e6e50
hex875524a4

2270504100 has 72 divisors (see below), whose sum is σ = 6693321600. Its totient is φ = 594039680.

The previous prime is 2270504081. The next prime is 2270504213. The reversal of 2270504100 is 14050722.

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 23 ways as a sum of consecutive naturals, for example, 55500 + ... + 87299.

It is an arithmetic number, because the mean of its divisors is an integer number (92962800).

Almost surely, 22270504100 is an apocalyptic number.

2270504100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2270504100 is an abundant number, since it is smaller than the sum of its proper divisors (4422817500).

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

2270504100 is a wasteful number, since it uses less digits than its factorization.

2270504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142869 (or 142862 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2270504100 is about 47649.8069251073. The cubic root of 2270504100 is about 1314.3391070554.

Adding to 2270504100 its reverse (14050722), we get a palindrome (2284554822).

The spelling of 2270504100 in words is "two billion, two hundred seventy million, five hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2650 3180 3975 5300 7950 15900 142799 285598 428397 571196 713995 856794 1427990 1713588 2141985 2855980 3569975 4283970 7139950 7568347 8567940 10709925 14279900 15136694 21419850 22705041 30273388 37841735 42839700 45410082 75683470 90820164 113525205 151366940 189208675 227050410 378417350 454100820 567626025 756834700 1135252050 2270504100