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22253440 = 2751129109
BaseRepresentation
bin101010011100…
…0111110000000
31112212120222111
41110320332000
521144102230
62112545104
7360102556
oct124707600
945776874
1022253440
111161a380
127552194
1347c2021
142d53bd6
151e4892a
hex1538f80

22253440 has 128 divisors (see below), whose sum is σ = 60588000. Its totient is φ = 7741440.

The previous prime is 22253437. The next prime is 22253501. The reversal of 22253440 is 4435222.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 204106 + ... + 204214.

Almost surely, 222253440 is an apocalyptic number.

22253440 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 22253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30294000).

22253440 is an abundant number, since it is smaller than the sum of its proper divisors (38334560).

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

22253440 is a wasteful number, since it uses less digits than its factorization.

22253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 22253440 is about 4717.3551912062. The cubic root of 22253440 is about 281.2758106354.

Adding to 22253440 its reverse (4435222), we get a palindrome (26688662).

It can be divided in two parts, 2225 and 3440, that added together give a palindrome (5665).

The spelling of 22253440 in words is "twenty-two million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 109 110 116 128 145 160 176 218 220 232 290 319 320 352 436 440 464 545 580 638 640 704 872 880 928 1090 1160 1199 1276 1408 1595 1744 1760 1856 2180 2320 2398 2552 3161 3190 3488 3520 3712 4360 4640 4796 5104 5995 6322 6380 6976 7040 8720 9280 9592 10208 11990 12644 12760 13952 15805 17440 18560 19184 20416 23980 25288 25520 31610 34771 34880 38368 40832 47960 50576 51040 63220 69542 69760 76736 95920 101152 102080 126440 139084 153472 173855 191840 202304 204160 252880 278168 347710 383680 404608 505760 556336 695420 767360 1011520 1112672 1390840 2023040 2225344 2781680 4450688 5563360 11126720 22253440