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2080243200 = 29352771109
BaseRepresentation
bin111101111111101…
…1111111000000000
312100222100022012110
41323333133320000
513230020240300
6542230455320
7102356526660
oct17377377000
95328308173
102080243200
11978274562
124a0804540
13271c91349
1415a3c61a0
15c2963550
hex7bfdfe00

2080243200 has 480 divisors, whose sum is σ = 8037342720. Its totient is φ = 464486400.

The previous prime is 2080243169. The next prime is 2080243213. The reversal of 2080243200 is 23420802.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×20802432002 = 8654823542292480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19084746 + ... + 19084854.

It is an arithmetic number, because the mean of its divisors is an integer number (16744464).

Almost surely, 22080243200 is an apocalyptic number.

2080243200 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 2080243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018671360).

2080243200 is an abundant number, since it is smaller than the sum of its proper divisors (5957099520).

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

2080243200 is a wasteful number, since it uses less digits than its factorization.

2080243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2080243200 is about 45609.6831824120. The cubic root of 2080243200 is about 1276.5506086358.

The spelling of 2080243200 in words is "two billion, eighty million, two hundred forty-three thousand, two hundred".