Search a number
-
+
22945936428 = 223237107160997
BaseRepresentation
bin10101010111101011…
…110011010000101100
32012020010211100022100
4111113223303100230
5333443124431203
614312523015100
71441423145562
oct252753632054
965203740270
1022945936428
119805423728
12454466a490
132218b1029c
141179657a32
158e46d0ea3
hex557af342c

22945936428 has 72 divisors (see below), whose sum is σ = 60126957072. Its totient is φ = 7372328832.

The previous prime is 22945936427. The next prime is 22945936457. The reversal of 22945936428 is 82463954922.

22945936428 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 593 + 6 + 42 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (22945936427) 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 23 ways as a sum of consecutive naturals, for example, 62026 + ... + 223022.

It is an arithmetic number, because the mean of its divisors is an integer number (835096626).

Almost surely, 222945936428 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 22945936428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30063478536).

22945936428 is an abundant number, since it is smaller than the sum of its proper divisors (37181020644).

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

22945936428 is a wasteful number, since it uses less digits than its factorization.

22945936428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161151 (or 161146 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 22945936428 in words is "twenty-two billion, nine hundred forty-five million, nine hundred thirty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 107 111 148 214 222 321 333 428 444 642 666 963 1284 1332 1926 3852 3959 7918 11877 15836 23754 35631 47508 71262 142524 160997 321994 482991 643988 965982 1448973 1931964 2897946 5795892 5956889 11913778 17226679 17870667 23827556 34453358 35741334 51680037 53612001 68906716 71482668 103360074 107224002 155040111 206720148 214448004 310080222 620160444 637387123 1274774246 1912161369 2549548492 3824322738 5736484107 7648645476 11472968214 22945936428