Search a number
-
+
22020021120 = 2735171935507
BaseRepresentation
bin10100100000011111…
…101101101110000000
32002211121112222021210
4110200133231232000
5330044111133440
614041005250120
71406451043206
oct244037555600
962747488253
1022020021120
11937a800869
124326563940
1320cc041bc6
1410cc6b3076
1588d285a80
hex5207edb80

22020021120 has 256 divisors, whose sum is σ = 78231225600. Its totient is φ = 5235572736.

The previous prime is 22020021109. The next prime is 22020021131. The reversal of 22020021120 is 2112002022.

It is an interprime number because it is at equal distance from previous prime (22020021109) and next prime (22020021131).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22020021096 and 22020021105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602407 + ... + 637913.

It is an arithmetic number, because the mean of its divisors is an integer number (305590725).

Almost surely, 222020021120 is an apocalyptic number.

22020021120 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 22020021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39115612800).

22020021120 is an abundant number, since it is smaller than the sum of its proper divisors (56211204480).

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

22020021120 is a wasteful number, since it uses less digits than its factorization.

22020021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35565 (or 35553 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22020021120 its reverse (2112002022), we get a palindrome (24132023142).

The spelling of 22020021120 in words is "twenty-two billion, twenty million, twenty-one thousand, one hundred twenty".