Search a number
-
+
2206947072 = 28311317127
BaseRepresentation
bin1000001110001011…
…0101011100000000
312200210202112020110
42003202311130000
514004434301242
61002554311320
7105455512011
oct20342653400
95623675213
102206947072
11a32845000
12517128540
132922c4755
1416d169008
15cdb4039c
hex838b5700

2206947072 has 288 divisors, whose sum is σ = 6894526464. Its totient is φ = 624476160.

The previous prime is 2206947059. The next prime is 2206947079. The reversal of 2206947072 is 2707496022.

It is a self number, because there is not a number n which added to its sum of digits gives 2206947072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206947079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17377473 + ... + 17377599.

It is an arithmetic number, because the mean of its divisors is an integer number (23939328).

Almost surely, 22206947072 is an apocalyptic number.

2206947072 is a gapful number since it is divisible by the number (22) 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 2206947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447263232).

2206947072 is an abundant number, since it is smaller than the sum of its proper divisors (4687579392).

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

2206947072 is a wasteful number, since it uses less digits than its factorization.

2206947072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 2206947072 is about 46978.1552639096. The cubic root of 2206947072 is about 1301.9589936141.

The spelling of 2206947072 in words is "two billion, two hundred six million, nine hundred forty-seven thousand, seventy-two".