Search a number
-
+
22233323040 = 2535425310891
BaseRepresentation
bin10100101101001101…
…011001011000100000
32010101110220211111220
4110231031121120200
5331013212314130
614114105135040
71414651061535
oct245515313040
963343824456
1022233323040
11947a149745
124385a8a480
1321342a5966
14110cb58d8c
158a1d6b410
hex52d359620

22233323040 has 96 divisors (see below), whose sum is σ = 70057866816. Its totient is φ = 5926947840.

The previous prime is 22233323029. The next prime is 22233323041. The reversal of 22233323040 is 4032333222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 22233323040.

It is not an unprimeable number, because it can be changed into a prime (22233323041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035995 + ... + 2046885.

It is an arithmetic number, because the mean of its divisors is an integer number (729769446).

Almost surely, 222233323040 is an apocalyptic number.

22233323040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22233323040 is an abundant number, since it is smaller than the sum of its proper divisors (47824543776).

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

22233323040 is a wasteful number, since it uses less digits than its factorization.

22233323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15162 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 22233323040 its reverse (4032333222), we get a palindrome (26265656262).

The spelling of 22233323040 in words is "twenty-two billion, two hundred thirty-three million, three hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4253 8506 10891 12759 17012 21265 21782 25518 32673 34024 42530 43564 51036 54455 63795 65346 68048 85060 87128 102072 108910 127590 130692 136096 163365 170120 174256 204144 217820 255180 261384 326730 340240 348512 408288 435640 510360 522768 653460 680480 871280 1020720 1045536 1306920 1742560 2041440 2613840 5227680 46319423 92638846 138958269 185277692 231597115 277916538 370555384 463194230 555833076 694791345 741110768 926388460 1111666152 1389582690 1482221536 1852776920 2223332304 2779165380 3705553840 4446664608 5558330760 7411107680 11116661520 22233323040