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23201010 = 2325725261
BaseRepresentation
bin101100010000…
…0010011110010
31121122201210200
41120200103302
521414413020
62145140030
7401130300
oct130402362
947581720
1023201010
1112107298
12792a616
134a64411
14311d270
152084590
hex16204f2

23201010 has 72 divisors (see below), whose sum is σ = 70184556. Its totient is φ = 5302080.

The previous prime is 23200993. The next prime is 23201021. The reversal of 23201010 is 1010232.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23126481 + 74529 = 4809^2 + 273^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23200983 and 23201001.

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, 1780 + ... + 7040.

Almost surely, 223201010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35092278).

23201010 is an abundant number, since it is smaller than the sum of its proper divisors (46983546).

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

23201010 is a wasteful number, since it uses less digits than its factorization.

23201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 23201010 is about 4816.7426752942. The cubic root of 23201010 is about 285.2127681718.

Adding to 23201010 its reverse (1010232), we get a palindrome (24211242).

The spelling of 23201010 in words is "twenty-three million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 5261 10522 15783 26305 31566 36827 47349 52610 73654 78915 94698 110481 157830 184135 220962 236745 257789 331443 368270 473490 515578 552405 662886 773367 1104810 1288945 1546734 1657215 2320101 2577890 3314430 3866835 4640202 7733670 11600505 23201010