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2276244100 = 22521323672
BaseRepresentation
bin1000011110101100…
…1011101010000100
312212122011011220001
42013223023222010
514130204302400
61013511451044
7110256520114
oct20753135204
95778134801
102276244100
11a68975979
12536386a84
132a3778300
14178447044
15d4c7ca6a
hex87acba84

2276244100 has 81 divisors (see below), whose sum is σ = 5363248527. Its totient is φ = 838169280.

The previous prime is 2276244083. The next prime is 2276244119. The reversal of 2276244100 is 14426722.

It is a happy number.

The square root of 2276244100 is 47710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 586705284 + 1689538816 = 24222^2 + 41104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6202117 + ... + 6202483.

Almost surely, 22276244100 is an apocalyptic number.

2276244100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2276244100 is the 47710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2276244100

2276244100 is an abundant number, since it is smaller than the sum of its proper divisors (3087004427).

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

2276244100 is a wasteful number, since it uses less digits than its factorization.

2276244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The cubic root of 2276244100 is about 1315.4457567299.

The spelling of 2276244100 in words is "two billion, two hundred seventy-six million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 367 650 676 734 845 1300 1468 1690 1835 3380 3670 4225 4771 7340 8450 9175 9542 16900 18350 19084 23855 36700 47710 62023 95420 119275 124046 134689 238550 248092 269378 310115 477100 538756 620230 673445 1240460 1346890 1550575 1750957 2693780 3101150 3367225 3501914 6202300 6734450 7003828 8754785 13468900 17509570 22762441 35019140 43773925 45524882 87547850 91049764 113812205 175095700 227624410 455248820 569061025 1138122050 2276244100