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2023241200 = 245283149409
BaseRepresentation
bin111100010011000…
…0011010111110000
312020000002022011021
41320212003113300
513120422204300
6532433025224
7101065160251
oct17046032760
95200068137
102023241200
11949081072
124856b5214
13263223b56
141529c8b28
15bc953d1a
hex789835f0

2023241200 has 120 divisors (see below), whose sum is σ = 4964526000. Its totient is φ = 792238080.

The previous prime is 2023241197. The next prime is 2023241219. The reversal of 2023241200 is 21423202.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 4946596 + ... + 4947004.

It is an arithmetic number, because the mean of its divisors is an integer number (41371050).

Almost surely, 22023241200 is an apocalyptic number.

2023241200 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 2023241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482263000).

2023241200 is an abundant number, since it is smaller than the sum of its proper divisors (2941284800).

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

2023241200 is a wasteful number, since it uses less digits than its factorization.

2023241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2023241200 is about 44980.4535326179. The cubic root of 2023241200 is about 1264.7826130012.

Adding to 2023241200 its reverse (21423202), we get a palindrome (2044664402).

The spelling of 2023241200 in words is "two billion, twenty-three million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 149 166 200 298 332 400 409 415 596 664 745 818 830 1192 1328 1490 1636 1660 2045 2075 2384 2980 3272 3320 3725 4090 4150 5960 6544 6640 7450 8180 8300 10225 11920 12367 14900 16360 16600 20450 24734 29800 32720 33200 33947 40900 49468 59600 60941 61835 67894 81800 98936 121882 123670 135788 163600 169735 197872 243764 247340 271576 304705 309175 339470 487528 494680 543152 609410 618350 678940 848675 975056 989360 1218820 1236700 1357880 1523525 1697350 2437640 2473400 2715760 3047050 3394700 4875280 4946800 5058103 6094100 6789400 10116206 12188200 13578800 20232412 24376400 25290515 40464824 50581030 80929648 101162060 126452575 202324120 252905150 404648240 505810300 1011620600 2023241200