Search a number
-
+
22244640 = 2535112383
BaseRepresentation
bin101010011011…
…0110100100000
31112212010220120
41110312310200
521143312030
62112440240
7360035115
oct124666440
945763816
1022244640
1111613800
127549080
1347bb012
142d5090c
151e46010
hex1536d20

22244640 has 144 divisors (see below), whose sum is σ = 77220864. Its totient is φ = 5378560.

The previous prime is 22244617. The next prime is 22244641. The reversal of 22244640 is 4644222.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22244640.

It is not an unprimeable number, because it can be changed into a prime (22244641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 57889 + ... + 58271.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 222244640 is an apocalyptic number.

22244640 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 22244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610432).

22244640 is an abundant number, since it is smaller than the sum of its proper divisors (54976224).

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

22244640 is a wasteful number, since it uses less digits than its factorization.

22244640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 22244640 is about 4716.4223729433. The cubic root of 22244640 is about 281.2387294249.

Adding to 22244640 its reverse (4644222), we get a palindrome (26888862).

The spelling of 22244640 in words is "twenty-two million, two hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 383 440 480 484 528 605 660 726 766 880 968 1056 1149 1210 1320 1452 1532 1760 1815 1915 1936 2298 2420 2640 2904 3064 3630 3830 3872 4213 4596 4840 5280 5745 5808 6128 7260 7660 8426 9192 9680 11490 11616 12256 12639 14520 15320 16852 18384 19360 21065 22980 25278 29040 30640 33704 36768 42130 45960 46343 50556 58080 61280 63195 67408 84260 91920 92686 101112 126390 134816 139029 168520 183840 185372 202224 231715 252780 278058 337040 370744 404448 463430 505560 556116 674080 695145 741488 926860 1011120 1112232 1390290 1482976 1853720 2022240 2224464 2780580 3707440 4448928 5561160 7414880 11122320 22244640