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2200006260 = 2232512222257
BaseRepresentation
bin1000001100100001…
…0110111001110100
312200022200220020100
42003020112321310
514001200200020
61002145434100
7105342513264
oct20310267164
95608626210
102200006260
11a299342a1
1251493b930
13290a3446a
1416c27d7a4
15cd21da90
hex83216e74

2200006260 has 36 divisors (see below), whose sum is σ = 6673352868. Its totient is φ = 586668288.

The previous prime is 2200006253. The next prime is 2200006279. The reversal of 2200006260 is 626000022.

It can be written as a sum of positive squares in 2 ways, for example, as 1037741796 + 1162264464 = 32214^2 + 34092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6110949 + ... + 6111308.

It is an arithmetic number, because the mean of its divisors is an integer number (185370913).

Almost surely, 22200006260 is an apocalyptic number.

2200006260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200006260 is an abundant number, since it is smaller than the sum of its proper divisors (4473346608).

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

2200006260 is a wasteful number, since it uses less digits than its factorization.

2200006260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222272 (or 12222267 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2200006260 is about 46904.2243300110. The cubic root of 2200006260 is about 1300.5926804415.

Adding to 2200006260 its reverse (626000022), we get a palindrome (2826006282).

The spelling of 2200006260 in words is "two billion, two hundred million, six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12222257 24444514 36666771 48889028 61111285 73333542 110000313 122222570 146667084 183333855 220000626 244445140 366667710 440001252 550001565 733335420 1100003130 2200006260