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2220808380 = 22357331592
BaseRepresentation
bin1000010001011110…
…1101100010111100
312201202211202101020
42010113231202330
514022011332010
61004211344140
7106014363000
oct20427554274
95652752336
102220808380
11a3a65222a
1251b8b2050
132951389cb
14170d36700
15cee7c470
hex845ed8bc

2220808380 has 288 divisors, whose sum is σ = 7614566400. Its totient is φ = 482912640.

The previous prime is 2220808357. The next prime is 2220808399. The reversal of 2220808380 is 838080222.

2220808380 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37640791 + ... + 37640849.

Almost surely, 22220808380 is an apocalyptic number.

2220808380 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 2220808380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807283200).

2220808380 is an abundant number, since it is smaller than the sum of its proper divisors (5393758020).

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

2220808380 is a wasteful number, since it uses less digits than its factorization.

2220808380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2220808380 is about 47125.4536317689. The cubic root of 2220808380 is about 1304.6790714184.

The spelling of 2220808380 in words is "two billion, two hundred twenty million, eight hundred eight thousand, three hundred eighty".