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22830000 = 24354761
BaseRepresentation
bin101011100010…
…1101110110000
31120221212212120
41113011232300
521321030000
62133154240
7365023524
oct127055660
946855776
1022830000
1111983576
12778b980
13496459b
143063d84
15200e6a0
hex15c5bb0

22830000 has 100 divisors (see below), whose sum is σ = 73795128. Its totient is φ = 6080000.

The previous prime is 22829993. The next prime is 22830011. The reversal of 22830000 is 3822.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 29620 + ... + 30380.

Almost surely, 222830000 is an apocalyptic number.

22830000 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 22830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36897564).

22830000 is an abundant number, since it is smaller than the sum of its proper divisors (50965128).

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

22830000 is an equidigital number, since it uses as much as digits as its factorization.

22830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22830000 is about 4778.0749261601. The cubic root of 22830000 is about 283.6843017115.

Adding to 22830000 its reverse (3822), we get a palindrome (22833822).

The spelling of 22830000 in words is "twenty-two million, eight hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 761 1000 1200 1250 1500 1522 1875 2000 2283 2500 3000 3044 3750 3805 4566 5000 6000 6088 7500 7610 9132 10000 11415 12176 15000 15220 18264 19025 22830 30000 30440 36528 38050 45660 57075 60880 76100 91320 95125 114150 152200 182640 190250 228300 285375 304400 380500 456600 475625 570750 761000 913200 951250 1141500 1426875 1522000 1902500 2283000 2853750 3805000 4566000 5707500 7610000 11415000 22830000