Search a number
-
+
22232212112 = 24111012395233
BaseRepresentation
bin10100101101001001…
…001010001010010000
32010101101211101121102
4110231021022022100
5331012421241422
614114025243532
71414635453635
oct245511121220
963341741542
1022232212112
119479560020
1243856335a8
132133ca70c6
14110c94a18c
158a1bec192
hex52d24a290

22232212112 has 80 divisors (see below), whose sum is σ = 47663735040. Its totient is φ = 9961728000.

The previous prime is 22232212099. The next prime is 22232212117. The reversal of 22232212112 is 21121223222.

It is not an unprimeable number, because it can be changed into a prime (22232212117) 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 15 ways as a sum of consecutive naturals, for example, 4245848 + ... + 4251080.

It is an arithmetic number, because the mean of its divisors is an integer number (595796688).

Almost surely, 222232212112 is an apocalyptic number.

22232212112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22232212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23831867520).

22232212112 is an abundant number, since it is smaller than the sum of its proper divisors (25431522928).

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

22232212112 is a wasteful number, since it uses less digits than its factorization.

22232212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5586 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

Adding to 22232212112 its reverse (21121223222), we get a palindrome (43353435334).

The spelling of 22232212112 in words is "twenty-two billion, two hundred thirty-two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 239 404 478 808 956 1111 1616 1912 2222 2629 3824 4444 5233 5258 8888 10466 10516 17776 20932 21032 24139 41864 42064 48278 57563 83728 96556 115126 193112 230252 265529 386224 460504 528533 531058 921008 1057066 1062116 1250687 2114132 2124232 2501374 4228264 4248464 5002748 5813863 8456528 10005496 11627726 13757557 20010992 23255452 27515114 46510904 55030228 93021808 110060456 126319387 220120912 252638774 505277548 1010555096 1389513257 2021110192 2779026514 5558053028 11116106056 22232212112