Search a number
-
+
23278002 = 2311192977
BaseRepresentation
bin101100011001…
…1000110110010
31121210122102020
41120303012302
521424344002
62150532310
7401600616
oct130630662
947718366
1023278002
111215a120
127967096
134a90487
14313d346
15209c2bc
hex16331b2

23278002 has 48 divisors (see below), whose sum is σ = 53656992. Its totient is φ = 6675840.

The previous prime is 23277967. The next prime is 23278033. The reversal of 23278002 is 20087232.

It is a super-2 number, since 2×232780022 = 1083730754224008, which contains 22 as substring.

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, 23338 + ... + 24314.

It is an arithmetic number, because the mean of its divisors is an integer number (1117854).

Almost surely, 223278002 is an apocalyptic number.

23278002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23278002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26828496).

23278002 is an abundant number, since it is smaller than the sum of its proper divisors (30378990).

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

23278002 is a wasteful number, since it uses less digits than its factorization.

23278002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 23278002 is about 4824.7281788718. The cubic root of 23278002 is about 285.5279104275.

The spelling of 23278002 in words is "twenty-three million, two hundred seventy-eight thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 418 627 722 977 1083 1254 1954 2166 2931 3971 5862 7942 10747 11913 18563 21494 23826 32241 37126 55689 64482 111378 204193 352697 408386 612579 705394 1058091 1225158 2116182 3879667 7759334 11639001 23278002