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2200000261 is a prime number
BaseRepresentation
bin1000001100100001…
…0101011100000101
312200022200121000011
42003020111130011
514001200002021
61002145350221
7105342456634
oct20310253405
95608617004
102200000261
11a2992a838
12514938371
13290a31804
1416c27b51b
15cd21bde1
hex83215705

2200000261 has 2 divisors, whose sum is σ = 2200000262. Its totient is φ = 2200000260.

The previous prime is 2200000211. The next prime is 2200000273. The reversal of 2200000261 is 1620000022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2116552036 + 83448225 = 46006^2 + 9135^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200000261 - 27 = 2200000133 is a prime.

It is a super-4 number, since 4×22000002614 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200000211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100000130 + 1100000131.

It is an arithmetic number, because the mean of its divisors is an integer number (1100000131).

Almost surely, 22200000261 is an apocalyptic number.

It is an amenable number.

2200000261 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200000261 is an equidigital number, since it uses as much as digits as its factorization.

2200000261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2200000261 is about 46904.1603805036. The cubic root of 2200000261 is about 1300.5914982839.

Adding to 2200000261 its reverse (1620000022), we get a palindrome (3820000283).

The spelling of 2200000261 in words is "two billion, two hundred million, two hundred sixty-one", and thus it is an aban number.