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90221300 = 22521369401
BaseRepresentation
bin1010110000010…
…10101011110100
320021202201100122
411120022223310
5141044040200
612541431112
72143603601
oct530125364
9207681318
1090221300
1146a22664
122626b498
13158cb8b0
14bda76a8
157dc2385
hex560aaf4

90221300 has 36 divisors (see below), whose sum is σ = 210843276. Its totient is φ = 33312000.

The previous prime is 90221293. The next prime is 90221309. The reversal of 90221300 is 312209.

It can be written as a sum of positive squares in 6 ways, for example, as 5654884 + 84566416 = 2378^2 + 9196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90221309) 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 11 ways as a sum of consecutive naturals, for example, 33401 + ... + 36000.

Almost surely, 290221300 is an apocalyptic number.

It is an amenable number.

90221300 is an abundant number, since it is smaller than the sum of its proper divisors (120621976).

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

90221300 is a wasteful number, since it uses less digits than its factorization.

90221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69428 (or 69421 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 90221300 is about 9498.4893535762. The cubic root of 90221300 is about 448.5074832201.

Adding to 90221300 its reverse (312209), we get a palindrome (90533509).

The spelling of 90221300 in words is "ninety million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 69401 138802 277604 347005 694010 902213 1388020 1735025 1804426 3470050 3608852 4511065 6940100 9022130 18044260 22555325 45110650 90221300