[go: up one dir, main page]

Search a number
-
+
2163290220 = 22335721319331
BaseRepresentation
bin1000000011110001…
…0011000001101100
312120202121112022000
42000330103001230
513412300241340
6554354452300
7104415443400
oct20074230154
95522545260
102163290220
11a10136a63
12504594090
1328624a5b0
14167443100
15c9db9d30
hex80f1306c

2163290220 has 576 divisors, whose sum is σ = 8901849600. Its totient is φ = 431101440.

The previous prime is 2163290209. The next prime is 2163290237. The reversal of 2163290220 is 220923612.

2163290220 = T245 + T246 + ... + T2350.

2163290220 is a `hidden beast` number, since 2 + 1 + 632 + 9 + 0 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6535455 + ... + 6535785.

It is an arithmetic number, because the mean of its divisors is an integer number (15454600).

Almost surely, 22163290220 is an apocalyptic number.

2163290220 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 2163290220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450924800).

2163290220 is an abundant number, since it is smaller than the sum of its proper divisors (6738559380).

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

2163290220 is a wasteful number, since it uses less digits than its factorization.

2163290220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2163290220 is about 46511.1838163683. The cubic root of 2163290220 is about 1293.3168295682.

The spelling of 2163290220 in words is "two billion, one hundred sixty-three million, two hundred ninety thousand, two hundred twenty".