Search a number
-
+
22653620 = 2251132337
BaseRepresentation
bin101011001101…
…0101010110100
31120121220220222
41112122222310
521244403440
62125313512
7363360353
oct126325264
946556828
1022653620
1111873000
127705898
134902212
14301999a
151ec72b5
hex159aab4

22653620 has 96 divisors (see below), whose sum is σ = 56077056. Its totient is φ = 7666560.

The previous prime is 22653619. The next prime is 22653623. The reversal of 22653620 is 2635622.

It is a self number, because there is not a number n which added to its sum of digits gives 22653620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22653623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612242 + ... + 612278.

It is an arithmetic number, because the mean of its divisors is an integer number (584136).

Almost surely, 222653620 is an apocalyptic number.

22653620 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 22653620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28038528).

22653620 is an abundant number, since it is smaller than the sum of its proper divisors (33423436).

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

22653620 is a wasteful number, since it uses less digits than its factorization.

22653620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 22653620 is about 4759.5819144122. The cubic root of 22653620 is about 282.9518495329.

It can be divided in two parts, 2265 and 3620, that added together give a palindrome (5885).

The spelling of 22653620 in words is "twenty-two million, six hundred fifty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 37 44 46 55 74 92 110 115 121 148 185 220 230 242 253 370 407 460 484 506 605 740 814 851 1012 1210 1265 1331 1628 1702 2035 2420 2530 2662 2783 3404 4070 4255 4477 5060 5324 5566 6655 8140 8510 8954 9361 11132 13310 13915 17020 17908 18722 22385 26620 27830 30613 37444 44770 46805 49247 55660 61226 89540 93610 98494 102971 122452 153065 187220 196988 205942 246235 306130 411884 492470 514855 612260 984940 1029710 1132681 2059420 2265362 4530724 5663405 11326810 22653620