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221200210340 = 22529381379673
BaseRepresentation
bin1100111000000010001…
…1110101100110100100
3210010221211012221210222
43032000203311212210
512111004223212330
6245341252103512
721660355523264
oct3160043654644
9703854187728
10221200210340
11858a082aa9a
1236a53604b98
1317b22562c35
14a9c594d7a4
155b4976d0e5
hex33808f59a4

221200210340 has 24 divisors (see below), whose sum is σ = 480538389240. Its totient is φ = 85429046528.

The previous prime is 221200210339. The next prime is 221200210349. The reversal of 221200210340 is 43012002122.

It can be written as a sum of positive squares in 4 ways, for example, as 6832996 + 221193377344 = 2614^2 + 470312^2 .

It is not an unprimeable number, because it can be changed into a prime (221200210349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190689257 + ... + 190690416.

It is an arithmetic number, because the mean of its divisors is an integer number (20022432885).

Almost surely, 2221200210340 is an apocalyptic number.

221200210340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200210340 is an abundant number, since it is smaller than the sum of its proper divisors (259338178900).

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

221200210340 is a wasteful number, since it uses less digits than its factorization.

221200210340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381379711 (or 381379709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 221200210340 its reverse (43012002122), we get a palindrome (264212212462).

The spelling of 221200210340 in words is "two hundred twenty-one billion, two hundred million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 381379673 762759346 1525518692 1906898365 3813796730 7627593460 11060010517 22120021034 44240042068 55300052585 110600105170 221200210340