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2023104200 = 2352134491733
BaseRepresentation
bin111100010010110…
…0001111011001000
312012222211100020012
41320211201323020
513120403313300
6532430051052
7101064046655
oct17045417310
95188740205
102023104200
11948a98147
12485649a88
132631a66a0
14152990c2c
15bc928435
hex78961ec8

2023104200 has 96 divisors (see below), whose sum is σ = 5079753000. Its totient is φ = 744898560.

The previous prime is 2023104199. The next prime is 2023104217. The reversal of 2023104200 is 24013202.

It can be written as a sum of positive squares in 12 ways, for example, as 14092516 + 2009011684 = 3754^2 + 44822^2 .

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, 1166534 + ... + 1168266.

Almost surely, 22023104200 is an apocalyptic number.

2023104200 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 2023104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539876500).

2023104200 is an abundant number, since it is smaller than the sum of its proper divisors (3056648800).

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

2023104200 is a wasteful number, since it uses less digits than its factorization.

2023104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2202 counting only the distinct ones).

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

The square root of 2023104200 is about 44978.9306231262. The cubic root of 2023104200 is about 1264.7540648925.

Adding to 2023104200 its reverse (24013202), we get a palindrome (2047117402).

The spelling of 2023104200 in words is "two billion, twenty-three million, one hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 449 520 650 898 1300 1733 1796 2245 2600 3466 3592 4490 5837 6932 8665 8980 11225 11674 13864 17330 17960 22450 22529 23348 29185 34660 43325 44900 45058 46696 58370 69320 86650 89800 90116 112645 116740 145925 173300 180232 225290 233480 291850 346600 450580 563225 583700 778117 901160 1126450 1167400 1556234 2252900 3112468 3890585 4505800 6224936 7781170 10115521 15562340 19452925 20231042 31124680 38905850 40462084 50577605 77811700 80924168 101155210 155623400 202310420 252888025 404620840 505776050 1011552100 2023104200