Search a number
-
+
22472120 = 2351124643
BaseRepresentation
bin101010110111…
…0010110111000
31120021200221202
41111232112320
521223101440
62121353332
7362003246
oct125562670
946250852
1022472120
1111759700
127638848
13486a718
142dad796
151e8d615
hex156e5b8

22472120 has 48 divisors (see below), whose sum is σ = 55588680. Its totient is φ = 8169920.

The previous prime is 22472111. The next prime is 22472161. The reversal of 22472120 is 2127422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22472092 and 22472101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2519 + ... + 7161.

Almost surely, 222472120 is an apocalyptic number.

22472120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22472120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794340).

22472120 is an abundant number, since it is smaller than the sum of its proper divisors (33116560).

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

22472120 is a wasteful number, since it uses less digits than its factorization.

22472120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 22472120 is about 4740.4767692712. The cubic root of 22472120 is about 282.1941556491.

Adding to 22472120 its reverse (2127422), we get a palindrome (24599542).

The spelling of 22472120 in words is "twenty-two million, four hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4643 4840 9286 18572 23215 37144 46430 51073 92860 102146 185720 204292 255365 408584 510730 561803 1021460 1123606 2042920 2247212 2809015 4494424 5618030 11236060 22472120