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23380200 = 23325231419
BaseRepresentation
bin101100100110…
…0000011101000
31121222211121100
41121030003220
521441131300
62153041400
7402504564
oct131140350
947884540
1023380200
1112219988
1279b6260
134ac7b4c
1431686a4
1520bc700
hex164c0e8

23380200 has 144 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 6019200.

The previous prime is 23380193. The next prime is 23380237. The reversal of 23380200 is 208332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55591 + ... + 56009.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 223380200 is an apocalyptic number.

23380200 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 23380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40622400).

23380200 is an abundant number, since it is smaller than the sum of its proper divisors (57864600).

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

23380200 is a wasteful number, since it uses less digits than its factorization.

23380200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23380200 is about 4835.3076427462. The cubic root of 23380200 is about 285.9451538756.

Adding to 23380200 its reverse (208332), we get a palindrome (23588532).

The spelling of 23380200 in words is "twenty-three million, three hundred eighty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 419 450 465 558 600 620 744 775 838 900 930 1116 1240 1257 1395 1550 1676 1800 1860 2095 2232 2325 2514 2790 3100 3352 3720 3771 4190 4650 5028 5580 6200 6285 6975 7542 8380 9300 10056 10475 11160 12570 12989 13950 15084 16760 18600 18855 20950 25140 25978 27900 30168 31425 37710 38967 41900 50280 51956 55800 62850 64945 75420 77934 83800 94275 103912 116901 125700 129890 150840 155868 188550 194835 233802 251400 259780 311736 324725 377100 389670 467604 519560 584505 649450 754200 779340 935208 974175 1169010 1298900 1558680 1948350 2338020 2597800 2922525 3896700 4676040 5845050 7793400 11690100 23380200