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22253040 = 2432531997
BaseRepresentation
bin101010011100…
…0110111110000
31112212120102200
41110320313300
521144044130
62112543200
7360101445
oct124706760
945776380
1022253040
111161a047
127551b00
1347c1aa4
142d539cc
151e48760
hex1538df0

22253040 has 120 divisors (see below), whose sum is σ = 77221248. Its totient is φ = 5736960.

The previous prime is 22253003. The next prime is 22253053. The reversal of 22253040 is 4035222.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21822 + ... + 22818.

Almost surely, 222253040 is an apocalyptic number.

22253040 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 22253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38610624).

22253040 is an abundant number, since it is smaller than the sum of its proper divisors (54968208).

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

22253040 is a wasteful number, since it uses less digits than its factorization.

22253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22253040 is about 4717.3127943777. The cubic root of 22253040 is about 281.2741253379.

Adding to 22253040 its reverse (4035222), we get a palindrome (26288262).

The spelling of 22253040 in words is "twenty-two million, two hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 997 1116 1240 1395 1488 1860 1994 2232 2480 2790 2991 3720 3988 4464 4985 5580 5982 7440 7976 8973 9970 11160 11964 14955 15952 17946 19940 22320 23928 29910 30907 35892 39880 44865 47856 59820 61814 71784 79760 89730 92721 119640 123628 143568 154535 179460 185442 239280 247256 278163 309070 358920 370884 463605 494512 556326 618140 717840 741768 927210 1112652 1236280 1390815 1483536 1854420 2225304 2472560 2781630 3708840 4450608 5563260 7417680 11126520 22253040