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21835000 = 235411397
BaseRepresentation
bin101001101001…
…0110011111000
31112002022222201
41103102303320
521042210000
62055555544
7353410615
oct123226370
945068881
1021835000
1111363a60
12738bbb4
1346a6725
142c8550c
151db496a
hex14d2cf8

21835000 has 80 divisors (see below), whose sum is σ = 55950840. Its totient is φ = 7920000.

The previous prime is 21834997. The next prime is 21835007. The reversal of 21835000 is 53812.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21835007) 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 19 ways as a sum of consecutive naturals, for example, 54802 + ... + 55198.

Almost surely, 221835000 is an apocalyptic number.

21835000 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 21835000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27975420).

21835000 is an abundant number, since it is smaller than the sum of its proper divisors (34115840).

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

21835000 is a wasteful number, since it uses less digits than its factorization.

21835000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 21835000 is about 4672.7935969824. The cubic root of 21835000 is about 279.5016646246.

Adding to 21835000 its reverse (53812), we get a palindrome (21888812).

The spelling of 21835000 in words is "twenty-one million, eight hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 397 440 500 550 625 794 1000 1100 1250 1375 1588 1985 2200 2500 2750 3176 3970 4367 5000 5500 6875 7940 8734 9925 11000 13750 15880 17468 19850 21835 27500 34936 39700 43670 49625 55000 79400 87340 99250 109175 174680 198500 218350 248125 397000 436700 496250 545875 873400 992500 1091750 1985000 2183500 2729375 4367000 5458750 10917500 21835000