Search a number
-
+
32223101112 = 23321747737673
BaseRepresentation
bin11110000000101001…
…011000000010111000
310002011200110010210100
4132000221120002320
51011443103213422
622445244515400
72220342561126
oct360051300270
9102150403710
1032223101112
1112736111884
1262b354bb60
133066b24547
1417b97ba916
15c88daa7ac
hex780a580b8

32223101112 has 192 divisors, whose sum is σ = 95675748480. Its totient is φ = 9757310976.

The previous prime is 32223101107. The next prime is 32223101117. The reversal of 32223101112 is 21110132223.

32223101112 is a `hidden beast` number, since 322 + 231 + 0 + 1 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (32223101107) and next prime (32223101117).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32223101117) 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 47 ways as a sum of consecutive naturals, for example, 4195708 + ... + 4203380.

It is an arithmetic number, because the mean of its divisors is an integer number (498311190).

Almost surely, 232223101112 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 32223101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47837874240).

32223101112 is an abundant number, since it is smaller than the sum of its proper divisors (63452647368).

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

32223101112 is a wasteful number, since it uses less digits than its factorization.

32223101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822 (or 7815 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32223101112 its reverse (21110132223), we get a palindrome (53333233335).

The spelling of 32223101112 in words is "thirty-two billion, two hundred twenty-three million, one hundred one thousand, one hundred twelve".