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2823138300 = 223529410461
BaseRepresentation
bin1010100001000101…
…1010101111111100
321021202020021200210
42220101122233330
521240210411200
61144045352420
7126650164623
oct25021325774
97252207623
102823138300
111219651654
12669568710
1335cb6bc48
141cad286ba
15117caa650
hexa845abfc

2823138300 has 36 divisors (see below), whose sum is σ = 8168281016. Its totient is φ = 752836800.

The previous prime is 2823138293. The next prime is 2823138317. The reversal of 2823138300 is 38313282.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4704931 + ... + 4705530.

Almost surely, 22823138300 is an apocalyptic number.

2823138300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2823138300 is an abundant number, since it is smaller than the sum of its proper divisors (5345142716).

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

2823138300 is a wasteful number, since it uses less digits than its factorization.

2823138300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9410478 (or 9410471 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2823138300 is about 53133.2127769440. The cubic root of 2823138300 is about 1413.3315415952.

The spelling of 2823138300 in words is "two billion, eight hundred twenty-three million, one hundred thirty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 9410461 18820922 28231383 37641844 47052305 56462766 94104610 112925532 141156915 188209220 235261525 282313830 470523050 564627660 705784575 941046100 1411569150 2823138300