Search a number
-
+
2205502992 = 243571153139
BaseRepresentation
bin1000001101110101…
…0100111000010000
312200201001011100000
42003131110320100
514004102043432
61002503330000
7105440315610
oct20335247020
95621034300
102205502992
11a31a49050
12516750900
13291c0a374
1416ccb0a40
15cd95757c
hex83754e10

2205502992 has 480 divisors, whose sum is σ = 8189475840. Its totient is φ = 558005760.

The previous prime is 2205502987. The next prime is 2205502997. The reversal of 2205502992 is 2992055022.

It is an interprime number because it is at equal distance from previous prime (2205502987) and next prime (2205502997).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2205502997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15866859 + ... + 15866997.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 22205502992 is an apocalyptic number.

2205502992 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 2205502992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

2205502992 is an abundant number, since it is smaller than the sum of its proper divisors (5983972848).

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

2205502992 is a wasteful number, since it uses less digits than its factorization.

2205502992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2205502992 is about 46962.7830521148. The cubic root of 2205502992 is about 1301.6749597415.

The spelling of 2205502992 in words is "two billion, two hundred five million, five hundred two thousand, nine hundred ninety-two".