Search a number
-
+
23149746 = 2333113829
BaseRepresentation
bin101100001001…
…1110010110010
31121120010111000
41120103302302
521411242441
62144102430
7400524654
oct130236262
947503430
1023149746
1112081824
127904a16
134a46c99
1431086d4
1520742b6
hex1613cb2

23149746 has 32 divisors (see below), whose sum is σ = 53107200. Its totient is φ = 7467120.

The previous prime is 23149741. The next prime is 23149757. The reversal of 23149746 is 64794132.

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 23149746.

It is not an unprimeable number, because it can be changed into a prime (23149741) 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, 5241 + ... + 8588.

It is an arithmetic number, because the mean of its divisors is an integer number (1659600).

Almost surely, 223149746 is an apocalyptic number.

23149746 is an abundant number, since it is smaller than the sum of its proper divisors (29957454).

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

23149746 is a wasteful number, since it uses less digits than its factorization.

23149746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13871 (or 13865 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 23149746 is about 4811.4182940168. The cubic root of 23149746 is about 285.0025484537.

It can be divided in two parts, 23 and 149746, that added together give a square (149769 = 3872).

The spelling of 23149746 in words is "twenty-three million, one hundred forty-nine thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 13829 27658 41487 82974 124461 248922 373383 428699 746766 857398 1286097 2572194 3858291 7716582 11574873 23149746