Search a number
-
+
23114310 = 23523139241
BaseRepresentation
bin101100000101…
…1001001000110
31121111022212120
41120023021012
521404124220
62143230410
7400316442
oct130131106
947438776
1023114310
111205813a
1278a8406
134a33b0b
1430d9822
152068a40
hex160b246

23114310 has 64 divisors (see below), whose sum is σ = 58544640. Its totient is φ = 5829120.

The previous prime is 23114309. The next prime is 23114321. The reversal of 23114310 is 1341132.

It is a super-2 number, since 2×231143102 = 1068542653552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23114310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95790 + ... + 96030.

It is an arithmetic number, because the mean of its divisors is an integer number (914760).

Almost surely, 223114310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23114310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272320).

23114310 is an abundant number, since it is smaller than the sum of its proper divisors (35430330).

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

23114310 is a wasteful number, since it uses less digits than its factorization.

23114310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 23114310 is about 4807.7343936619. The cubic root of 23114310 is about 284.8570535842.

Adding to 23114310 its reverse (1341132), we get a palindrome (24455442).

It can be divided in two parts, 231 and 14310, that added together give a palindrome (14541).

The spelling of 23114310 in words is "twenty-three million, one hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 139 230 241 278 345 417 482 690 695 723 834 1205 1390 1446 2085 2410 3197 3615 4170 5543 6394 7230 9591 11086 15985 16629 19182 27715 31970 33258 33499 47955 55430 66998 83145 95910 100497 166290 167495 200994 334990 502485 770477 1004970 1540954 2311431 3852385 4622862 7704770 11557155 23114310