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2055683300 = 22521110118503
BaseRepresentation
bin111101010000111…
…0011110011100100
312022021010112100112
41322201303303210
513202223331200
6535552232152
7101641006526
oct17241636344
95267115315
102055683300
1196541a320
1249453b658
13269b72568
14157031a16
15c0711535
hex7a873ce4

2055683300 has 72 divisors (see below), whose sum is σ = 4914810432. Its totient is φ = 740080000.

The previous prime is 2055683293. The next prime is 2055683303. The reversal of 2055683300 is 33865502.

It is not an unprimeable number, because it can be changed into a prime (2055683303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101849 + ... + 120351.

It is an arithmetic number, because the mean of its divisors is an integer number (68261256).

Almost surely, 22055683300 is an apocalyptic number.

2055683300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055683300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457405216).

2055683300 is an abundant number, since it is smaller than the sum of its proper divisors (2859127132).

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

2055683300 is a wasteful number, since it uses less digits than its factorization.

2055683300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18629 (or 18622 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 2055683300 is about 45339.6438009828. The cubic root of 2055683300 is about 1271.5069428849.

The spelling of 2055683300 in words is "two billion, fifty-five million, six hundred eighty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 18503 22220 27775 37006 55550 74012 92515 111100 185030 203533 370060 407066 462575 814132 925150 1017665 1850300 1868803 2035330 3737606 4070660 5088325 7475212 9344015 10176650 18688030 20353300 20556833 37376060 41113666 46720075 82227332 93440150 102784165 186880300 205568330 411136660 513920825 1027841650 2055683300