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2094892900 = 22522321992
BaseRepresentation
bin111110011011101…
…1000011101100100
312101222220120210221
41330313120131210
513242243033100
6543512454124
7102625203322
oct17467303544
95358816727
102094892900
11985570051
124a56aa344
132750203c9
1415c31ad12
15c3da901a
hex7cdd8764

2094892900 has 81 divisors (see below), whose sum is σ = 4776159801. Its totient is φ = 797496480.

The previous prime is 2094892889. The next prime is 2094892901. The reversal of 2094892900 is 92984902.

It is a happy number.

The square root of 2094892900 is 45770.

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

It can be written as a sum of positive squares in only one way, i.e., 754161444 + 1340731456 = 27462^2 + 36616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2094892901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10527001 + ... + 10527199.

Almost surely, 22094892900 is an apocalyptic number.

2094892900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2094892900 is the 45770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2094892900

2094892900 is an abundant number, since it is smaller than the sum of its proper divisors (2681266901).

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

2094892900 is a wasteful number, since it uses less digits than its factorization.

2094892900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The cubic root of 2094892900 is about 1279.5402197936.

The spelling of 2094892900 in words is "two billion, ninety-four million, eight hundred ninety-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 199 230 398 460 529 575 796 995 1058 1150 1990 2116 2300 2645 3980 4577 4975 5290 9154 9950 10580 13225 18308 19900 22885 26450 39601 45770 52900 79202 91540 105271 114425 158404 198005 210542 228850 396010 421084 457700 526355 792020 910823 990025 1052710 1821646 1980050 2105420 2631775 3643292 3960100 4554115 5263550 9108230 10527100 18216460 20948929 22770575 41897858 45541150 83795716 91082300 104744645 209489290 418978580 523723225 1047446450 2094892900