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2022097620480 = 29357372334363
BaseRepresentation
bin11101011011001110011…
…010010000111000000000
321011022101110102021120020
4131123032122100320000
5231112223442323410
64144534441413440
7266043315115410
oct35331632207000
97138343367506
102022097620480
1170a626433153
12287a9049a280
131188b56a5a52
146dc275a2640
15378ece90a70
hex1d6ce690e00

2022097620480 has 640 divisors, whose sum is σ = 7621861598208. Its totient is φ = 447669338112.

The previous prime is 2022097620383. The next prime is 2022097620493. The reversal of 2022097620480 is 840267902202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 463462779 + ... + 463467141.

Almost surely, 22022097620480 is an apocalyptic number.

2022097620480 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 2022097620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810930799104).

2022097620480 is an abundant number, since it is smaller than the sum of its proper divisors (5599763977728).

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

2022097620480 is a wasteful number, since it uses less digits than its factorization.

2022097620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 2022097620480 in words is "two trillion, twenty-two billion, ninety-seven million, six hundred twenty thousand, four hundred eighty".