Search a number
-
+
23226300 = 223252131197
BaseRepresentation
bin101100010011…
…0011110111100
31121201000111100
41120212132330
521421220200
62145453100
7401264106
oct130463674
947630440
1023226300
1112124299
127941190
134a72a96
143128576
15208bd00
hex16267bc

23226300 has 108 divisors (see below), whose sum is σ = 73729656. Its totient is φ = 6115200.

The previous prime is 23226293. The next prime is 23226317. The reversal of 23226300 is 362232.

23226300 is a `hidden beast` number, since 2 + 32 + 2 + 630 + 0 = 666.

It is a super-2 number, since 2×232263002 = 1078922023380000, which contains 22 as substring.

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

It is a congruent number.

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, 117802 + ... + 117998.

It is an arithmetic number, because the mean of its divisors is an integer number (682682).

Almost surely, 223226300 is an apocalyptic number.

23226300 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 23226300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36864828).

23226300 is an abundant number, since it is smaller than the sum of its proper divisors (50503356).

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

23226300 is a wasteful number, since it uses less digits than its factorization.

23226300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23226300 is about 4819.3671783752. The cubic root of 23226300 is about 285.3163615307.

Adding to 23226300 its reverse (362232), we get a palindrome (23588532).

The spelling of 23226300 in words is "twenty-three million, two hundred twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 131 150 180 197 225 262 300 393 394 450 524 591 655 786 788 900 985 1179 1182 1310 1572 1773 1965 1970 2358 2364 2620 2955 3275 3546 3930 3940 4716 4925 5895 5910 6550 7092 7860 8865 9825 9850 11790 11820 13100 14775 17730 19650 19700 23580 25807 29475 29550 35460 39300 44325 51614 58950 59100 77421 88650 103228 117900 129035 154842 177300 232263 258070 309684 387105 464526 516140 645175 774210 929052 1161315 1290350 1548420 1935525 2322630 2580700 3871050 4645260 5806575 7742100 11613150 23226300