Search a number
-
+
22730620 = 22511277373
BaseRepresentation
bin101011010110…
…1011101111100
31120202211112211
41112231131330
521304334440
62131110204
7364131013
oct126553574
946684484
1022730620
1111915940
127742364
13492b293
143039a7a
151edeeea
hex15ad77c

22730620 has 48 divisors (see below), whose sum is σ = 52401888. Its totient is φ = 8213760.

The previous prime is 22730611. The next prime is 22730623. The reversal of 22730620 is 2603722.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22730591 and 22730600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22730623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60754 + ... + 61126.

It is an arithmetic number, because the mean of its divisors is an integer number (1091706).

Almost surely, 222730620 is an apocalyptic number.

22730620 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 22730620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26200944).

22730620 is an abundant number, since it is smaller than the sum of its proper divisors (29671268).

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

22730620 is a wasteful number, since it uses less digits than its factorization.

22730620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 22730620 is about 4767.6639982281. The cubic root of 22730620 is about 283.2720728763.

The spelling of 22730620 in words is "twenty-two million, seven hundred thirty thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 277 373 554 746 1108 1385 1492 1865 2770 3047 3730 4103 5540 6094 7460 8206 12188 15235 16412 20515 30470 41030 60940 82060 103321 206642 413284 516605 1033210 1136531 2066420 2273062 4546124 5682655 11365310 22730620