Search a number
-
+
200022122412 = 22337264579527
BaseRepresentation
bin1011101001001000111…
…1110101111110101100
3201010021212220121202000
42322102033311332230
511234121130404122
6231520000132300
720310506662560
oct2722217657654
9633255817660
10200022122412
1177913301092
1232923007090
1315b28a96668
149976ddd6a0
15530a3940ac
hex2e923f5fac

200022122412 has 48 divisors (see below), whose sum is σ = 592658142720. Its totient is φ = 57149177616.

The previous prime is 200022122411. The next prime is 200022122423. The reversal of 200022122412 is 214221220002.

200022122412 is a `hidden beast` number, since 200 + 0 + 221 + 2 + 241 + 2 = 666.

It is a super-2 number, since 2×2000221224122 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (200022122411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132289008 + ... + 132290519.

It is an arithmetic number, because the mean of its divisors is an integer number (12347044640).

Almost surely, 2200022122412 is an apocalyptic number.

It is an amenable number.

200022122412 is an abundant number, since it is smaller than the sum of its proper divisors (392636020308).

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

200022122412 is a wasteful number, since it uses less digits than its factorization.

200022122412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264579547 (or 264579539 counting only the distinct ones).

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

Adding to 200022122412 its reverse (214221220002), we get a palindrome (414243342414).

The spelling of 200022122412 in words is "two hundred billion, twenty-two million, one hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 264579527 529159054 793738581 1058318108 1587477162 1852056689 2381215743 3174954324 3704113378 4762431486 5556170067 7143647229 7408226756 9524862972 11112340134 14287294458 16668510201 22224680268 28574588916 33337020402 50005530603 66674040804 100011061206 200022122412