Search a number
-
+
2202202033020 = 22345111767108499
BaseRepresentation
bin100000000010111101011…
…110000100101101111100
321210112021020122101220000
4200002331132010231330
5242040102210024040
64403402212154300
7315050422266303
oct40027536045574
97715236571800
102202202033020
11779a486aaa90
122b6975008990
1312c888b47362
14788311bb43a
153c43e921130
hex200bd784b7c

2202202033020 has 480 divisors, whose sum is σ = 8098919136000. Its totient is φ = 494959196160.

The previous prime is 2202202032923. The next prime is 2202202033027. The reversal of 2202202033020 is 203302022022.

2202202033020 is a `hidden beast` number, since 220 + 220 + 203 + 3 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2202202032984 and 2202202033002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202202033027) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20242731 + ... + 20351229.

It is an arithmetic number, because the mean of its divisors is an integer number (16872748200).

Almost surely, 22202202033020 is an apocalyptic number.

2202202033020 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 2202202033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049459568000).

2202202033020 is an abundant number, since it is smaller than the sum of its proper divisors (5896717102980).

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

2202202033020 is a wasteful number, since it uses less digits than its factorization.

2202202033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108615 (or 108604 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2202202033020 its reverse (203302022022), we get a palindrome (2405504055042).

The spelling of 2202202033020 in words is "two trillion, two hundred two billion, two hundred two million, thirty-three thousand, twenty".