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5354400200 = 235289300809
BaseRepresentation
bin1001111110010010…
…11010100111001000
3111211011020201020112
410333021122213020
541431211301300
62243151213452
7246454436132
oct47711324710
914734221215
105354400200
1122a8468136
121055217288
136743c5856
1438b196052
1521510de35
hex13f25a9c8

5354400200 has 48 divisors (see below), whose sum is σ = 12588898500. Its totient is φ = 2117688320.

The previous prime is 5354400179. The next prime is 5354400209. The reversal of 5354400200 is 20044535.

It can be written as a sum of positive squares in 6 ways, for example, as 2740941316 + 2613458884 = 52354^2 + 51122^2 .

It is not an unprimeable number, because it can be changed into a prime (5354400209) 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 11 ways as a sum of consecutive naturals, for example, 132605 + ... + 168204.

Almost surely, 25354400200 is an apocalyptic number.

5354400200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5354400200 is an abundant number, since it is smaller than the sum of its proper divisors (7234498300).

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

5354400200 is a wasteful number, since it uses less digits than its factorization.

5354400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300914 (or 300905 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 5354400200 is about 73173.7671573632. The cubic root of 5354400200 is about 1749.4583575436.

Adding to 5354400200 its reverse (20044535), we get a palindrome (5374444735).

The spelling of 5354400200 in words is "five billion, three hundred fifty-four million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 17800 300809 601618 1203236 1504045 2406472 3008090 6016180 7520225 12032360 15040450 26772001 30080900 53544002 60161800 107088004 133860005 214176008 267720010 535440020 669300025 1070880040 1338600050 2677200100 5354400200