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2042231000 = 23538572383
BaseRepresentation
bin111100110111001…
…1111100011011000
312021022211002021012
41321232133203120
513140302343000
6534352033052
7101415451145
oct17156374330
95238732235
102042231000
11958871417
1248bb32788
13267142514
1415532d3cc
15be455735
hex79b9f8d8

2042231000 has 64 divisors (see below), whose sum is σ = 4786404480. Its totient is φ = 815596800.

The previous prime is 2042230987. The next prime is 2042231003. The reversal of 2042231000 is 1322402.

It is a super-2 number, since 2×20422310002 = 8341414914722000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042231003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855809 + ... + 858191.

It is an arithmetic number, because the mean of its divisors is an integer number (74787570).

Almost surely, 22042231000 is an apocalyptic number.

2042231000 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 2042231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393202240).

2042231000 is an abundant number, since it is smaller than the sum of its proper divisors (2744173480).

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

2042231000 is a wasteful number, since it uses less digits than its factorization.

2042231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2042231000 is about 45191.0499988659. The cubic root of 2042231000 is about 1268.7273091625.

Adding to 2042231000 its reverse (1322402), we get a palindrome (2043553402).

The spelling of 2042231000 in words is "two billion, forty-two million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 857 1000 1714 2383 3428 4285 4766 6856 8570 9532 11915 17140 19064 21425 23830 34280 42850 47660 59575 85700 95320 107125 119150 171400 214250 238300 297875 428500 476600 595750 857000 1191500 2042231 2383000 4084462 8168924 10211155 16337848 20422310 40844620 51055775 81689240 102111550 204223100 255278875 408446200 510557750 1021115500 2042231000