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2200000260 = 22351759139263
BaseRepresentation
bin1000001100100001…
…0101011100000100
312200022200121000010
42003020111130010
514001200002020
61002145350220
7105342456633
oct20310253404
95608617003
102200000260
11a2992a837
12514938370
13290a31803
1416c27b51a
15cd21bde0
hex83215704

2200000260 has 192 divisors, whose sum is σ = 6706022400. Its totient is φ = 536844288.

The previous prime is 2200000211. The next prime is 2200000261. The reversal of 2200000260 is 620000022.

It is a super-2 number, since 2×22000002602 = 9680002288000135200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2200000261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8364889 + ... + 8365151.

It is an arithmetic number, because the mean of its divisors is an integer number (34927200).

Almost surely, 22200000260 is an apocalyptic number.

2200000260 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 2200000260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353011200).

2200000260 is an abundant number, since it is smaller than the sum of its proper divisors (4506022140).

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

2200000260 is a wasteful number, since it uses less digits than its factorization.

2200000260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2200000260 is about 46904.1603698435. The cubic root of 2200000260 is about 1300.5914980868.

Adding to 2200000260 its reverse (620000022), we get a palindrome (2820000282).

The spelling of 2200000260 in words is "two billion, two hundred million, two hundred sixty", and thus it is an aban number.