Search a number
-
+
23205897 = 32111321973
BaseRepresentation
bin101100010000…
…1100000001001
31121122222111200
41120201200021
521420042042
62145214413
7401150451
oct130414011
947588450
1023205897
111210aa30
127931409
134a66700
143120d61
152085c4c
hex1621809

23205897 has 72 divisors (see below), whose sum is σ = 42251040. Its totient is φ = 12130560.

The previous prime is 23205883. The next prime is 23205907. The reversal of 23205897 is 79850232.

It is a happy number.

It is not a de Polignac number, because 23205897 - 24 = 23205881 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23205817) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317853 + ... + 317925.

It is an arithmetic number, because the mean of its divisors is an integer number (586820).

Almost surely, 223205897 is an apocalyptic number.

23205897 is the 2409-th decagonal number.

It is an amenable number.

23205897 is a deficient number, since it is larger than the sum of its proper divisors (19045143).

23205897 is a wasteful number, since it uses less digits than its factorization.

23205897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 23205897 is about 4817.2499416161. The cubic root of 23205897 is about 285.2327922562.

The spelling of 23205897 in words is "twenty-three million, two hundred five thousand, eight hundred ninety-seven".

Divisors: 1 3 9 11 13 19 33 39 57 73 99 117 143 169 171 209 219 247 429 507 627 657 741 803 949 1287 1387 1521 1859 1881 2223 2409 2717 2847 3211 4161 5577 7227 8151 8541 9633 10439 12337 12483 15257 16731 18031 24453 28899 31317 35321 37011 45771 54093 93951 105963 111033 135707 137313 162279 198341 234403 317889 407121 595023 703209 1221363 1785069 2109627 2578433 7735299 23205897