Search a number
-
+
23263296 = 263719911
BaseRepresentation
bin101100010111…
…1100001000000
31121202220020120
41120233201000
521423411141
62150340240
7401510010
oct130574100
947686216
1023263296
111214a071
12795a680
134a86884
143137c40
152097c66
hex162f840

23263296 has 112 divisors (see below), whose sum is σ = 74127360. Its totient is φ = 6289920.

The previous prime is 23263241. The next prime is 23263297. The reversal of 23263296 is 69236232.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23263297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25081 + ... + 25991.

Almost surely, 223263296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23263296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37063680).

23263296 is an abundant number, since it is smaller than the sum of its proper divisors (50864064).

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

23263296 is a wasteful number, since it uses less digits than its factorization.

23263296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 942 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 23263296 is about 4823.2039144121. The cubic root of 23263296 is about 285.4677698421.

The spelling of 23263296 in words is "twenty-three million, two hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 911 912 1064 1216 1344 1596 1822 1824 2128 2733 3192 3644 3648 4256 5466 6377 6384 7288 8512 10932 12754 12768 14576 17309 19131 21864 25508 25536 29152 34618 38262 43728 51016 51927 58304 69236 76524 87456 102032 103854 121163 138472 153048 174912 204064 207708 242326 276944 306096 363489 408128 415416 484652 553888 612192 726978 830832 969304 1107776 1224384 1453956 1661664 1938608 2907912 3323328 3877216 5815824 7754432 11631648 23263296