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23225760 = 253251272
BaseRepresentation
bin101100010011…
…0010110100000
31121200222202100
41120212112200
521421211020
62145450400
7401262405
oct130462640
947628670
1023225760
1112123948
127940a00
134a7276c
1431282ac
15208ba90
hex16265a0

23225760 has 108 divisors (see below), whose sum is σ = 79886898. Its totient is φ = 6144768.

The previous prime is 23225759. The next prime is 23225767. The reversal of 23225760 is 6752232.

It can be written as a sum of positive squares in only one way, i.e., 20903184 + 2322576 = 4572^2 + 1524^2 .

It is not an unprimeable number, because it can be changed into a prime (23225767) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 182817 + ... + 182943.

Almost surely, 223225760 is an apocalyptic number.

23225760 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 23225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39943449).

23225760 is an abundant number, since it is smaller than the sum of its proper divisors (56661138).

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

23225760 is a wasteful number, since it uses less digits than its factorization.

23225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 23225760 is about 4819.3111540966. The cubic root of 23225760 is about 285.3141503587.

Adding to 23225760 its reverse (6752232), we get a palindrome (29977992).

The spelling of 23225760 in words is "twenty-three million, two hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 127 144 160 180 240 254 288 360 381 480 508 635 720 762 1016 1143 1270 1440 1524 1905 2032 2286 2540 3048 3810 4064 4572 5080 5715 6096 7620 9144 10160 11430 12192 15240 16129 18288 20320 22860 30480 32258 36576 45720 48387 60960 64516 80645 91440 96774 129032 145161 161290 182880 193548 241935 258064 290322 322580 387096 483870 516128 580644 645160 725805 774192 967740 1161288 1290320 1451610 1548384 1935480 2322576 2580640 2903220 3870960 4645152 5806440 7741920 11612880 23225760