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2297064200 = 235233892
BaseRepresentation
bin1000100011101010…
…0110101100001000
312221002022221200212
42020322212230020
514201022023300
61015534020252
7110631503114
oct21072465410
95832287625
102297064200
11a796a6372
12541347688
132a7b87ab2
1417b106744
15d69e1935
hex88ea6b08

2297064200 has 36 divisors (see below), whose sum is σ = 5342250615. Its totient is φ = 918554560.

The previous prime is 2297064199. The next prime is 2297064233. The reversal of 2297064200 is 24607922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2078083396 + 218980804 = 45586^2 + 14798^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33890.

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 8 ways as a sum of consecutive naturals, for example, 676106 + ... + 679494.

Almost surely, 22297064200 is an apocalyptic number.

2297064200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2297064200 is an abundant number, since it is smaller than the sum of its proper divisors (3045186415).

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

2297064200 is an frugal number, since it uses more digits than its factorization.

2297064200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6794 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2297064200 is about 47927.6976288242. The cubic root of 2297064200 is about 1319.4442487543. Note that the first 3 decimals are identical.

Multiplying 2297064200 by its sum of digits (32), we get a square (73506054400 = 2711202).

The spelling of 2297064200 in words is "two billion, two hundred ninety-seven million, sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3389 6778 13556 16945 27112 33890 67780 84725 135560 169450 338900 677800 11485321 22970642 45941284 57426605 91882568 114853210 229706420 287133025 459412840 574266050 1148532100 2297064200