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2022083380044 = 22327213570115467
BaseRepresentation
bin11101011011001101100…
…011111100001101001100
321011022100110121210100200
4131123031203330031030
5231112211321130134
64144533212253500
7266043053065200
oct35331543741514
97138313553320
102022083380044
1170a6193970a2
12287a87771290
131188b275b060
146dc25736b00
15378ebacb499
hex1d6cd8fc34c

2022083380044 has 216 divisors, whose sum is σ = 6404801287248. Its totient is φ = 533168697600.

The previous prime is 2022083380003. The next prime is 2022083380063. The reversal of 2022083380044 is 4400833802202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2022083379990 and 2022083380008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130727599 + ... + 130743065.

Almost surely, 22022083380044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022083380044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202400643624).

2022083380044 is an abundant number, since it is smaller than the sum of its proper divisors (4382717907204).

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

2022083380044 is a wasteful number, since it uses less digits than its factorization.

2022083380044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21205 (or 21193 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 2022083380044 in words is "two trillion, twenty-two billion, eighty-three million, three hundred eighty thousand, forty-four".