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23220300 = 223521729157
BaseRepresentation
bin101100010010…
…1000001001100
31121200201021010
41120211001030
521421022200
62145405220
7401240445
oct130450114
947621233
1023220300
111211a834
127939810
134a7012c
1431262cc
15208a150
hex162504c

23220300 has 144 divisors (see below), whose sum is σ = 74057760. Its totient is φ = 5591040.

The previous prime is 23220289. The next prime is 23220313. The reversal of 23220300 is 302232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147822 + ... + 147978.

It is an arithmetic number, because the mean of its divisors is an integer number (514290).

Almost surely, 223220300 is an apocalyptic number.

23220300 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 23220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37028880).

23220300 is an abundant number, since it is smaller than the sum of its proper divisors (50837460).

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

23220300 is a wasteful number, since it uses less digits than its factorization.

23220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 23220300 is about 4818.7446498025. The cubic root of 23220300 is about 285.2917910280.

Adding to 23220300 its reverse (302232), we get a palindrome (23522532).

The spelling of 23220300 in words is "twenty-three million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 29 30 34 50 51 58 60 68 75 85 87 100 102 116 145 150 157 170 174 204 255 290 300 314 340 348 425 435 471 493 510 580 628 725 785 850 870 942 986 1020 1275 1450 1479 1570 1700 1740 1884 1972 2175 2355 2465 2550 2669 2900 2958 3140 3925 4350 4553 4710 4930 5100 5338 5916 7395 7850 8007 8700 9106 9420 9860 10676 11775 12325 13345 13659 14790 15700 16014 18212 22765 23550 24650 26690 27318 29580 32028 36975 40035 45530 47100 49300 53380 54636 66725 68295 73950 77401 80070 91060 113825 133450 136590 147900 154802 160140 200175 227650 232203 266900 273180 309604 341475 387005 400350 455300 464406 682950 774010 800700 928812 1161015 1365900 1548020 1935025 2322030 3870050 4644060 5805075 7740100 11610150 23220300