Search a number
-
+
222020102192 = 24719120874973
BaseRepresentation
bin1100111011000101101…
…1011110100000110000
3210020001221222202222212
43032301123132200300
512114144121232232
6245554501151252
722016602505450
oct3166133364060
9706057882885
10222020102192
1186181617969
12370420bb528
1317c2338bc45
14aa627b5d60
155b96723eb2
hex33b16de830

222020102192 has 80 divisors (see below), whose sum is σ = 494526062592. Its totient is φ = 94588919040.

The previous prime is 222020102191. The next prime is 222020102207. The reversal of 222020102192 is 291201020222.

222020102192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2220201021922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222020102191) by changing a digit.

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, 44642618 + ... + 44647590.

Almost surely, 2222020102192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222020102192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247263031296).

222020102192 is an abundant number, since it is smaller than the sum of its proper divisors (272505960400).

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

222020102192 is a wasteful number, since it uses less digits than its factorization.

222020102192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7266 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 222020102192 in words is "two hundred twenty-two billion, twenty million, one hundred two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 191 382 764 1337 1528 2087 2674 3056 4174 4973 5348 8348 9946 10696 14609 16696 19892 21392 29218 33392 34811 39784 58436 69622 79568 116872 139244 233744 278488 398617 556976 797234 949843 1594468 1899686 2790319 3188936 3799372 5580638 6377872 6648901 7598744 10378651 11161276 13297802 15197488 20757302 22322552 26595604 41514604 44645104 53191208 72650557 83029208 106382416 145301114 166058416 290602228 581204456 1162408912 1982322341 3964644682 7929289364 13876256387 15858578728 27752512774 31717157456 55505025548 111010051096 222020102192