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22133440 = 265741241
BaseRepresentation
bin101010001101…
…1101011000000
31112122111101001
41110123223000
521131232230
62110221344
7356062660
oct124335300
945574331
1022133440
11115481aa
1274b4854
13477c514
142d221a0
151e230ca
hex151bac0

22133440 has 112 divisors (see below), whose sum is σ = 61959744. Its totient is φ = 7372800.

The previous prime is 22133417. The next prime is 22133477. The reversal of 22133440 is 4433122.

It is a tau number, because it is divible by the number of its divisors (112).

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, 91720 + ... + 91960.

It is an arithmetic number, because the mean of its divisors is an integer number (553212).

Almost surely, 222133440 is an apocalyptic number.

22133440 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 22133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30979872).

22133440 is an abundant number, since it is smaller than the sum of its proper divisors (39826304).

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

22133440 is a wasteful number, since it uses less digits than its factorization.

22133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 22133440 is about 4704.6190068910. The cubic root of 22133440 is about 280.7693129129.

Adding to 22133440 its reverse (4433122), we get a palindrome (26566562).

The spelling of 22133440 in words is "twenty-two million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 112 140 160 164 205 224 241 280 287 320 328 410 448 482 560 574 656 820 964 1120 1148 1205 1312 1435 1640 1687 1928 2240 2296 2410 2624 2870 3280 3374 3856 4592 4820 5740 6560 6748 7712 8435 9184 9640 9881 11480 13120 13496 15424 16870 18368 19280 19762 22960 26992 33740 38560 39524 45920 49405 53984 67480 69167 77120 79048 91840 98810 107968 134960 138334 158096 197620 269920 276668 316192 345835 395240 539840 553336 632384 691670 790480 1106672 1383340 1580960 2213344 2766680 3161920 4426688 5533360 11066720 22133440