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2204005420320 = 2535111955739443
BaseRepresentation
bin100000000100101000111…
…101011100110100100000
321210200220221000222012020
4200010220331130310200
5242102300341422240
64404301153101440
7315143210652234
oct40045075346440
97720827028166
102204005420320
1177a793668610
122b7198b57880
1312cab5652132
14789628d65c4
153c4e7de80d0
hex20128f5cd20

2204005420320 has 384 divisors, whose sum is σ = 7986898805760. Its totient is φ = 505261486080.

The previous prime is 2204005420291. The next prime is 2204005420349. The reversal of 2204005420320 is 230245004022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2204005420291) and next prime (2204005420349).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 55858519 + ... + 55897961.

It is an arithmetic number, because the mean of its divisors is an integer number (20799215640).

Almost surely, 22204005420320 is an apocalyptic number.

2204005420320 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 2204005420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993449402880).

2204005420320 is an abundant number, since it is smaller than the sum of its proper divisors (5782893385440).

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

2204005420320 is a wasteful number, since it uses less digits than its factorization.

2204005420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40048 (or 40040 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The spelling of 2204005420320 in words is "two trillion, two hundred four billion, five million, four hundred twenty thousand, three hundred twenty".