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1813224200 = 235230112
BaseRepresentation
bin110110000010011…
…1001101100001000
311200100220022222212
41230010321230020
512203141133300
6455531404252
762635102634
oct15404715410
94610808885
101813224200
118505771a7
124272b3688
1322b870338
14132b59dc4
15a92bb935
hex6c139b08

1813224200 has 36 divisors (see below), whose sum is σ = 4217146845. Its totient is φ = 725048800.

The previous prime is 1813224197. The next prime is 1813224209. The reversal of 1813224200 is 24223181.

It is a happy number.

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 2 ways, for example, as 1776959716 + 36264484 = 42154^2 + 6022^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=30110.

It is not an unprimeable number, because it can be changed into a prime (1813224209) by changing a digit.

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, 600695 + ... + 603705.

Almost surely, 21813224200 is an apocalyptic number.

1813224200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1813224200 is an abundant number, since it is smaller than the sum of its proper divisors (2403922645).

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

1813224200 is an frugal number, since it uses more digits than its factorization.

1813224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1813224200 is about 42581.9703630539. The cubic root of 1813224200 is about 1219.4121058936.

Adding to 1813224200 its reverse (24223181), we get a palindrome (1837447381).

The spelling of 1813224200 in words is "one billion, eight hundred thirteen million, two hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 3011 6022 12044 15055 24088 30110 60220 75275 120440 150550 301100 602200 9066121 18132242 36264484 45330605 72528968 90661210 181322420 226653025 362644840 453306050 906612100 1813224200