Search a number
-
+
2080022800 = 245224121577
BaseRepresentation
bin111101111111010…
…1010000100010000
312100221221002212111
41323332222010100
513224441212200
6542222035104
7102354621262
oct17376520420
95327832774
102080022800
11978133a09
124a0718a94
13271c14c2b
1415a369b32
15c291d0ba
hex7bfaa110

2080022800 has 60 divisors (see below), whose sum is σ = 5018222836. Its totient is φ = 828518400.

The previous prime is 2080022771. The next prime is 2080022849. The reversal of 2080022800 is 82200802.

It can be written as a sum of positive squares in 6 ways, for example, as 69755904 + 2010266896 = 8352^2 + 44836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85612 + ... + 107188.

Almost surely, 22080022800 is an apocalyptic number.

2080022800 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 2080022800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509111418).

2080022800 is an abundant number, since it is smaller than the sum of its proper divisors (2938200036).

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

2080022800 is a wasteful number, since it uses less digits than its factorization.

2080022800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21836 (or 21825 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2080022800 is about 45607.2669648160. The cubic root of 2080022800 is about 1276.5055238927.

The spelling of 2080022800 in words is "two billion, eighty million, twenty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 241 400 482 964 1205 1928 2410 3856 4820 6025 9640 12050 19280 21577 24100 43154 48200 86308 96400 107885 172616 215770 345232 431540 539425 863080 1078850 1726160 2157700 4315400 5200057 8630800 10400114 20800228 26000285 41600456 52000570 83200912 104001140 130001425 208002280 260002850 416004560 520005700 1040011400 2080022800