Search a number
-
+
23185580 = 22511105389
BaseRepresentation
bin101100001110…
…0100010101100
31121121221122012
41120130202230
521413414310
62144540352
7401034305
oct130344254
947557565
1023185580
11120a6740
1279216b8
134a5a3a2
1431177ac
15207ec05
hex161c8ac

23185580 has 24 divisors (see below), whose sum is σ = 53116560. Its totient is φ = 8431040.

The previous prime is 23185577. The next prime is 23185621. The reversal of 23185580 is 8558132.

It is a happy number.

It is a super-2 number, since 2×231855802 = 1075142239872800, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 52475 + ... + 52914.

It is an arithmetic number, because the mean of its divisors is an integer number (2213190).

Almost surely, 223185580 is an apocalyptic number.

23185580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23185580 is an abundant number, since it is smaller than the sum of its proper divisors (29930980).

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

23185580 is a wasteful number, since it uses less digits than its factorization.

23185580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105409 (or 105407 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 23185580 is about 4815.1407040709. The cubic root of 23185580 is about 285.1495265432.

The spelling of 23185580 in words is "twenty-three million, one hundred eighty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 105389 210778 421556 526945 1053890 1159279 2107780 2318558 4637116 5796395 11592790 23185580