Search a number
-
+
12220584 = 2333491459
BaseRepresentation
bin101110100111…
…100010101000
3211222212111020
4232213202220
511112024314
61113532440
7205605345
oct56474250
924885436
1012220584
116997562
124114120
1326bb51c
1418a17cc
151115da9
hexba78a8

12220584 has 32 divisors (see below), whose sum is σ = 30660000. Its totient is φ = 4059072.

The previous prime is 12220573. The next prime is 12220601. The reversal of 12220584 is 48502221.

12220584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7647 + ... + 9105.

It is an arithmetic number, because the mean of its divisors is an integer number (958125).

Almost surely, 212220584 is an apocalyptic number.

It is an amenable number.

12220584 is an abundant number, since it is smaller than the sum of its proper divisors (18439416).

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

12220584 is a wasteful number, since it uses less digits than its factorization.

12220584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12220584 is about 3495.7951885086. The cubic root of 12220584 is about 230.3371488961.

It can be divided in two parts, 122 and 20584, that added together give a triangular number (20706 = T203).

The spelling of 12220584 in words is "twelve million, two hundred twenty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 349 698 1047 1396 1459 2094 2792 2918 4188 4377 5836 8376 8754 11672 17508 35016 509191 1018382 1527573 2036764 3055146 4073528 6110292 12220584