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2023032300 = 2235217894457
BaseRepresentation
bin111100010010101…
…0000010111101100
312012222200200121020
41320211100113230
513120344013200
6532424334140
7101063330232
oct17045202754
95188620536
102023032300
11948a49123
12485614350
1326317ca43
14152972952
15bc911ea0
hex789505ec

2023032300 has 144 divisors (see below), whose sum is σ = 6268661280. Its totient is φ = 501923840.

The previous prime is 2023032287. The next prime is 2023032301. The reversal of 2023032300 is 32303202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2023032300.

It is not an unprimeable number, because it can be changed into a prime (2023032301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451672 + ... + 456128.

It is an arithmetic number, because the mean of its divisors is an integer number (43532370).

Almost surely, 22023032300 is an apocalyptic number.

2023032300 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 2023032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134330640).

2023032300 is an abundant number, since it is smaller than the sum of its proper divisors (4245628980).

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

2023032300 is a wasteful number, since it uses less digits than its factorization.

2023032300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 2023032300 is about 44978.1313529142. The cubic root of 2023032300 is about 1264.7390818293.

Adding to 2023032300 its reverse (32303202), we get a palindrome (2055335502).

The spelling of 2023032300 in words is "two billion, twenty-three million, thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 89 100 102 150 170 178 204 255 267 300 340 356 425 445 510 534 850 890 1020 1068 1275 1335 1513 1700 1780 2225 2550 2670 3026 4450 4457 4539 5100 5340 6052 6675 7565 8900 8914 9078 13350 13371 15130 17828 18156 22285 22695 26700 26742 30260 37825 44570 45390 53484 66855 75650 75769 89140 90780 111425 113475 133710 151300 151538 222850 226950 227307 267420 303076 334275 378845 396673 445700 453900 454614 668550 757690 793346 909228 1136535 1190019 1337100 1515380 1586692 1894225 1983365 2273070 2380038 3788450 3966730 4546140 4760076 5682675 5950095 6743441 7576900 7933460 9916825 11365350 11900190 13486882 19833650 20230323 22730700 23800380 26973764 29750475 33717205 39667300 40460646 59500950 67434410 80921292 101151615 119001900 134868820 168586025 202303230 337172050 404606460 505758075 674344100 1011516150 2023032300