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2055715600 = 245222672
BaseRepresentation
bin111101010000111…
…1011101100010000
312022021012011122211
41322201323230100
513202230344400
6535553041504
7101641202641
oct17241735420
95267164584
102055715600
11965441614
12494556294
13269b84183
1415703d6c8
15c071adba
hex7a87bb10

2055715600 has 45 divisors (see below), whose sum is σ = 4941036277. Its totient is φ = 821923520.

The previous prime is 2055715589. The next prime is 2055715609. The reversal of 2055715600 is 65175502.

The square root of 2055715600 is 45340.

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., 740057616 + 1315657984 = 27204^2 + 36272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2055715609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 905667 + ... + 907933.

Almost surely, 22055715600 is an apocalyptic number.

2055715600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2055715600 is the 45340-th square number.

It is an amenable number.

2055715600 is an abundant number, since it is smaller than the sum of its proper divisors (2885320677).

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

2055715600 is an frugal number, since it uses more digits than its factorization.

2055715600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The cubic root of 2055715600 is about 1271.5136023833.

The spelling of 2055715600 in words is "two billion, fifty-five million, seven hundred fifteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2267 4534 9068 11335 18136 22670 36272 45340 56675 90680 113350 181360 226700 453400 906800 5139289 10278578 20557156 25696445 41114312 51392890 82228624 102785780 128482225 205571560 256964450 411143120 513928900 1027857800 2055715600