Search a number
-
+
24022222422444 = 2233317175096303
BaseRepresentation
bin1010111011001000111000…
…00010001100000110101100
310011001111112222120020022000
411131210130002030012230
511122040002420004234
6123031353455452300
75026356031346451
oct535443402140654
9104044488506260
1024022222422444
117721849332594
12283b801827090
13105339403965c
145d0978ab9828
152b9d16c57899
hex15d91c08c1ac

24022222422444 has 48 divisors (see below), whose sum is σ = 64288862883840. Its totient is φ = 7749104006160.

The previous prime is 24022222422421. The next prime is 24022222422469. The reversal of 24022222422444 is 44422422222042.

24022222422444 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 2 + 222 + 422 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×240222224224442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24022222422399 and 24022222422408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3587544804 + ... + 3587551499.

It is an arithmetic number, because the mean of its divisors is an integer number (1339351310080).

Almost surely, 224022222422444 is an apocalyptic number.

It is an amenable number.

24022222422444 is an abundant number, since it is smaller than the sum of its proper divisors (40266640461396).

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

24022222422444 is a wasteful number, since it uses less digits than its factorization.

24022222422444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175096347 (or 7175096339 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 24022222422444 its reverse (44422422222042), we get a palindrome (68444644644486).

The spelling of 24022222422444 in words is "twenty-four trillion, twenty-two billion, two hundred twenty-two million, four hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 7175096303 14350192606 21525288909 28700385212 43050577818 64575866727 86101155636 129151733454 193727600181 222427985393 258303466908 387455200362 444855970786 667283956179 774910400724 889711941572 1334567912358 2001851868537 2669135824716 4003703737074 6005555605611 8007407474148 12011111211222 24022222422444