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2001234200 = 2352710114153
BaseRepresentation
bin111011101001000…
…0110100100011000
312011110200020020012
41313102012210120
513044303443300
6530325221052
7100410132020
oct16722064430
95143606205
102001234200
1193770a969
1247a261788
1325b7ba064
1414dadaa80
15baa58435
hex77486918

2001234200 has 96 divisors (see below), whose sum is σ = 5370593760. Its totient is φ = 679296000.

The previous prime is 2001234167. The next prime is 2001234211. The reversal of 2001234200 is 24321002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134324 + ... + 148476.

It is an arithmetic number, because the mean of its divisors is an integer number (55943685).

Almost surely, 22001234200 is an apocalyptic number.

2001234200 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 2001234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685296880).

2001234200 is an abundant number, since it is smaller than the sum of its proper divisors (3369359560).

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

2001234200 is a wasteful number, since it uses less digits than its factorization.

2001234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14277 (or 14268 counting only the distinct ones).

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

The square root of 2001234200 is about 44735.1561973354. The cubic root of 2001234200 is about 1260.1801623627.

Adding to 2001234200 its reverse (24321002), we get a palindrome (2025555202).

The spelling of 2001234200 in words is "two billion, one million, two hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 140 175 200 202 280 350 404 505 700 707 808 1010 1400 1414 2020 2525 2828 3535 4040 5050 5656 7070 10100 14140 14153 17675 20200 28280 28306 35350 56612 70700 70765 99071 113224 141400 141530 198142 283060 353825 396284 495355 566120 707650 792568 990710 1415300 1429453 1981420 2476775 2830600 2858906 3962840 4953550 5717812 7147265 9907100 10006171 11435624 14294530 19814200 20012342 28589060 35736325 40024684 50030855 57178120 71472650 80049368 100061710 142945300 200123420 250154275 285890600 400246840 500308550 1000617100 2001234200