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2022201220000 = 25541353146749
BaseRepresentation
bin11101011011010100100…
…101011101101110100000
321011022122200100200101111
4131123110211131232200
5231112432003020000
64144553022113104
7266046013522003
oct35332445355640
97138580320344
102022201220000
1170a679962a95
12287abb11b794
13118900ca9a40
146dc3724d53a
1537907106cba
hex1d6d495dba0

2022201220000 has 240 divisors, whose sum is σ = 5458728429000. Its totient is φ = 732566016000.

The previous prime is 2022201219971. The next prime is 2022201220027. The reversal of 2022201220000 is 221022202.

It can be written as a sum of positive squares in 20 ways, for example, as 1376126071056 + 646075148944 = 1173084^2 + 803788^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13706626 + ... + 13853374.

Almost surely, 22022201220000 is an apocalyptic number.

2022201220000 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 2022201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729364214500).

2022201220000 is an abundant number, since it is smaller than the sum of its proper divisors (3436527209000).

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

2022201220000 is a wasteful number, since it uses less digits than its factorization.

2022201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146845 (or 146822 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2022201220000 its reverse (221022202), we get a palindrome (2022422242202).

The spelling of 2022201220000 in words is "two trillion, twenty-two billion, two hundred one million, two hundred twenty thousand".