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2023340200 = 235272715333
BaseRepresentation
bin111100010011001…
…1011100010101000
312020000021022221221
41320212123202220
513120433341300
6532435111424
7101066052010
oct17046334250
95200238857
102023340200
11949139492
12485742574
13263259c2b
14152a12c40
15bc97331a
hex7899b8a8

2023340200 has 96 divisors (see below), whose sum is σ = 5397154560. Its totient is φ = 691027200.

The previous prime is 2023340167. The next prime is 2023340257. The reversal of 2023340200 is 20433202.

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, 376734 + ... + 382066.

It is an arithmetic number, because the mean of its divisors is an integer number (56220360).

Almost surely, 22023340200 is an apocalyptic number.

2023340200 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 2023340200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698577280).

2023340200 is an abundant number, since it is smaller than the sum of its proper divisors (3373814360).

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

2023340200 is a wasteful number, since it uses less digits than its factorization.

2023340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5627 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2023340200 is about 44981.5539971664. The cubic root of 2023340200 is about 1264.8032418543.

Adding to 2023340200 its reverse (20433202), we get a palindrome (2043773402).

The spelling of 2023340200 in words is "two billion, twenty-three million, three hundred forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 271 280 350 542 700 1084 1355 1400 1897 2168 2710 3794 5333 5420 6775 7588 9485 10666 10840 13550 15176 18970 21332 26665 27100 37331 37940 42664 47425 53330 54200 74662 75880 94850 106660 133325 149324 186655 189700 213320 266650 298648 373310 379400 533300 746620 933275 1066600 1445243 1493240 1866550 2890486 3733100 5780972 7226215 7466200 10116701 11561944 14452430 20233402 28904860 36131075 40466804 50583505 57809720 72262150 80933608 101167010 144524300 202334020 252917525 289048600 404668040 505835050 1011670100 2023340200