Search a number
-
+
21830000 = 24543759
BaseRepresentation
bin101001101000…
…1100101110000
31112002002010112
41103101211300
521042030000
62055520452
7353360213
oct123214560
945062115
1021830000
1111360225
127389128
1346a437a
142c8377a
151db3235
hex14d1970

21830000 has 100 divisors (see below), whose sum is σ = 55201080. Its totient is φ = 8352000.

The previous prime is 21829981. The next prime is 21830027. The reversal of 21830000 is 3812.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 369971 + ... + 370029.

Almost surely, 221830000 is an apocalyptic number.

21830000 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 21830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27600540).

21830000 is an abundant number, since it is smaller than the sum of its proper divisors (33371080).

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

21830000 is an equidigital number, since it uses as much as digits as its factorization.

21830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 21830000 is about 4672.2585544895. The cubic root of 21830000 is about 279.4803286196.

Adding to 21830000 its reverse (3812), we get a palindrome (21833812).

The spelling of 21830000 in words is "twenty-one million, eight hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 59 74 80 100 118 125 148 185 200 236 250 295 296 370 400 472 500 590 592 625 740 925 944 1000 1180 1250 1475 1480 1850 2000 2183 2360 2500 2950 2960 3700 4366 4625 4720 5000 5900 7375 7400 8732 9250 10000 10915 11800 14750 14800 17464 18500 21830 23125 23600 29500 34928 36875 37000 43660 46250 54575 59000 73750 74000 87320 92500 109150 118000 147500 174640 185000 218300 272875 295000 370000 436600 545750 590000 873200 1091500 1364375 2183000 2728750 4366000 5457500 10915000 21830000