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2021412000 = 25353168451
BaseRepresentation
bin111100001111100…
…0100110010100000
312012212122100222010
41320133010302200
513114440141000
6532325512520
7101043501306
oct17037046240
95185570863
102021412000
11948041833
12484b72740
13262a3339a
14152670276
15bc6e1d50
hex787c4ca0

2021412000 has 96 divisors (see below), whose sum is σ = 6622185024. Its totient is φ = 539040000.

The previous prime is 2021411999. The next prime is 2021412011. The reversal of 2021412000 is 2141202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20214120002 = 8172212947488000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72226 + ... + 96225.

It is an arithmetic number, because the mean of its divisors is an integer number (68981094).

Almost surely, 22021412000 is an apocalyptic number.

2021412000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021412000 is an abundant number, since it is smaller than the sum of its proper divisors (4600773024).

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

2021412000 is a wasteful number, since it uses less digits than its factorization.

2021412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168479 (or 168461 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2021412000 is about 44960.1156582142. The cubic root of 2021412000 is about 1264.4013373324.

Adding to 2021412000 its reverse (2141202), we get a palindrome (2023553202).

The spelling of 2021412000 in words is "two billion, twenty-one million, four hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 168451 336902 505353 673804 842255 1010706 1347608 1684510 2021412 2526765 2695216 3369020 4042824 4211275 5053530 5390432 6738040 8085648 8422550 10107060 12633825 13476080 16171296 16845100 20214120 21056375 25267650 26952160 33690200 40428240 42112750 50535300 63169125 67380400 80856480 84225500 101070600 126338250 134760800 168451000 202141200 252676500 336902000 404282400 505353000 673804000 1010706000 2021412000