Search a number
-
+
22220222002020 = 2234577432637221
BaseRepresentation
bin1010000110101100011000…
…11100000111001101100100
32220200020021110212011220000
411003112030130013031210
510403024003313031040
6115131455024541300
74452233546453040
oct503261434071544
986606243764800
1022220222002020
1170975a8049489
1225aa517481830
13c52486530933
1456b670783020
15287eeb7a7130
hex14358c707364

22220222002020 has 240 divisors, whose sum is σ = 79770859838208. Its totient is φ = 5072070286080.

The previous prime is 22220222002019. The next prime is 22220222002057. The reversal of 22220222002020 is 2020022202222.

22220222002020 is a `hidden beast` number, since 22 + 220 + 2 + 220 + 0 + 202 + 0 = 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 = 22220222001984 and 22220222002002.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7107010 + ... + 9744230.

Almost surely, 222220222002020 is an apocalyptic number.

22220222002020 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 22220222002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39885429919104).

22220222002020 is an abundant number, since it is smaller than the sum of its proper divisors (57550637836188).

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

22220222002020 is a wasteful number, since it uses less digits than its factorization.

22220222002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637992 (or 2637981 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22220222002020 its reverse (2020022202222), we get a palindrome (24240244204242).

The spelling of 22220222002020 in words is "twenty-two trillion, two hundred twenty billion, two hundred twenty-two million, two thousand, twenty".