Search a number
-
+
22120032220 = 2251113731011049
BaseRepresentation
bin10100100110011101…
…001110011111011100
32010002120202001201121
4110212131032133130
5330300212012340
614054541020324
71412104112566
oct244635163734
963076661647
1022120032220
1194211aa670
124353b546a4
13211698a780
1410dbaa8336
15896e3d94a
hex52674e7dc

22120032220 has 192 divisors, whose sum is σ = 55921622400. Its totient is φ = 7243776000.

The previous prime is 22120032203. The next prime is 22120032223. The reversal of 22120032220 is 2223002122.

It is a junction number, because it is equal to n+sod(n) for n = 22120032194 and 22120032203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120032223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21086256 + ... + 21087304.

It is an arithmetic number, because the mean of its divisors is an integer number (291258450).

Almost surely, 222120032220 is an apocalyptic number.

22120032220 is a gapful number since it is divisible by the number (20) 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 22120032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27960811200).

22120032220 is an abundant number, since it is smaller than the sum of its proper divisors (33801590180).

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

22120032220 is a wasteful number, since it uses less digits than its factorization.

22120032220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22120032220 its reverse (2223002122), we get a palindrome (24343034342).

The spelling of 22120032220 in words is "twenty-two billion, one hundred twenty million, thirty-two thousand, two hundred twenty".