Search a number
-
+
23196306 = 2372257307
BaseRepresentation
bin101100001111…
…1001010010010
31121122111100110
41120133022102
521414240211
62145102150
7401110500
oct130371222
947574313
1023196306
1112103801
127927956
134a62233
14311b670
152082ea6
hex161f292

23196306 has 48 divisors (see below), whose sum is σ = 54353376. Its totient is φ = 6580224.

The previous prime is 23196253. The next prime is 23196311. The reversal of 23196306 is 60369132.

23196306 = T225 + T226 + ... + T531.

It is a happy number.

It is a super-2 number, since 2×231963062 = 1076137224091272, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75405 + ... + 75711.

It is an arithmetic number, because the mean of its divisors is an integer number (1132362).

Almost surely, 223196306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23196306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27176688).

23196306 is an abundant number, since it is smaller than the sum of its proper divisors (31157070).

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

23196306 is a wasteful number, since it uses less digits than its factorization.

23196306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 23196306 is about 4816.2543537484. The cubic root of 23196306 is about 285.1934912589.

The spelling of 23196306 in words is "twenty-three million, one hundred ninety-six thousand, three hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 257 294 307 514 614 771 921 1542 1799 1842 2149 3598 4298 5397 6447 10794 12593 12894 15043 25186 30086 37779 45129 75558 78899 90258 157798 236697 473394 552293 1104586 1656879 3313758 3866051 7732102 11598153 23196306