Search a number
-
+
20023222320 = 2432527810031
BaseRepresentation
bin10010101001011110…
…100010000000110000
31220200110020002021200
4102221132202000300
5312001421103240
613110515051200
71306123403313
oct225136420060
956613202250
1020023222320
118545650322
123a698a0b00
131b7144895a
14d7d40c97a
157c2d06930
hex4a97a2030

20023222320 has 60 divisors (see below), whose sum is σ = 67244657376. Its totient is φ = 5339525760.

The previous prime is 20023222273. The next prime is 20023222321. The reversal of 20023222320 is 2322232002.

20023222320 is a `hidden beast` number, since 20 + 0 + 2 + 322 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×200232223202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20023222293 and 20023222302.

It is not an unprimeable number, because it can be changed into a prime (20023222321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13904296 + ... + 13905735.

Almost surely, 220023222320 is an apocalyptic number.

20023222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20023222320 is an abundant number, since it is smaller than the sum of its proper divisors (47221435056).

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

20023222320 is a wasteful number, since it uses less digits than its factorization.

20023222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27810050 (or 27810041 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20023222320 its reverse (2322232002), we get a palindrome (22345454322).

The spelling of 20023222320 in words is "twenty billion, twenty-three million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 27810031 55620062 83430093 111240124 139050155 166860186 222480248 250290279 278100310 333720372 417150465 444960496 500580558 556200620 667440744 834300930 1001161116 1112401240 1251451395 1334881488 1668601860 2002322232 2224802480 2502902790 3337203720 4004644464 5005805580 6674407440 10011611160 20023222320