Search a number
-
+
20222221000122 = 2324151769529301
BaseRepresentation
bin1001001100100010110100…
…10011001001110110111010
32122121020002100110221210200
410212101122103021312322
510122310102034000442
6111001543213223030
74155002326244541
oct446213223116672
978536070427720
1020222221000122
116497217620549
122327250a91a76
13b38c4118289b
144dca915ab158
1525105e04034c
hex12645a4c9dba

20222221000122 has 48 divisors (see below), whose sum is σ = 44884417916520. Its totient is φ = 6576192576000.

The previous prime is 20222221000103. The next prime is 20222221000139. The reversal of 20222221000122 is 22100012222202.

It can be written as a sum of positive squares in 4 ways, for example, as 8862415874361 + 11359805125761 = 2976981^2 + 3370431^2 .

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 = 20222221000095 and 20222221000104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37940872 + ... + 38470172.

Almost surely, 220222221000122 is an apocalyptic number.

20222221000122 is an abundant number, since it is smaller than the sum of its proper divisors (24662196916398).

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

20222221000122 is a wasteful number, since it uses less digits than its factorization.

20222221000122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581119 (or 581116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20222221000122 its reverse (22100012222202), we get a palindrome (42322233222324).

The spelling of 20222221000122 in words is "twenty trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 51769 103538 155307 310614 465921 529301 931842 1058602 1587903 2122529 3175806 4245058 4763709 6367587 9527418 12735174 19102761 21701341 38205522 43402682 65104023 130208046 195312069 390624138 27401383469 54802766938 82204150407 164408300814 246612451221 493224902442 1123456722229 2246913444458 3370370166687 6740740333374 10111110500061 20222221000122