Search a number
-
+
23144052 = 22319831223
BaseRepresentation
bin101100001001…
…0011001110100
31121112211200010
41120102121310
521411102202
62144020220
7400502241
oct130223164
947484603
1023144052
1112078518
127901670
134a44509
1431065c8
15207276c
hex1612674

23144052 has 48 divisors (see below), whose sum is σ = 57576960. Its totient is φ = 7214688.

The previous prime is 23144041. The next prime is 23144063. The reversal of 23144052 is 25044132.

It is an interprime number because it is at equal distance from previous prime (23144041) and next prime (23144063).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18313 + ... + 19535.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520).

Almost surely, 223144052 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 23144052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788480).

23144052 is an abundant number, since it is smaller than the sum of its proper divisors (34432908).

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

23144052 is a wasteful number, since it uses less digits than its factorization.

23144052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 23144052 is about 4810.8265402112. The cubic root of 23144052 is about 284.9791797656.

Adding to 23144052 its reverse (25044132), we get a palindrome (48188184).

The spelling of 23144052 in words is "twenty-three million, one hundred forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 996 1223 1577 2446 3154 3669 4731 4892 6308 7338 9462 14676 18924 23237 46474 69711 92948 101509 139422 203018 278844 304527 406036 609054 1218108 1928671 3857342 5786013 7714684 11572026 23144052