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90221412209 = 41101149314593
BaseRepresentation
bin101010000000110011…
…1010111111101110001
322121212200111121120112
41110001213113331301
52434233140142314
6105240325551105
76342525231125
oct1240147277561
9277780447515
1090221412209
11352986a9395
121559ab75495
13867a965716
14451c495585
152530a1543e
hex15019d7f71

90221412209 has 16 divisors (see below), whose sum is σ = 93405919824. Its totient is φ = 87085056000.

The previous prime is 90221412187. The next prime is 90221412271.

90221412209 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 53333809 + 90168078400 = 7303^2 + 300280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90221412209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90221412409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6175217 + ... + 6189809.

It is an arithmetic number, because the mean of its divisors is an integer number (5837869989).

Almost surely, 290221412209 is an apocalyptic number.

It is an amenable number.

90221412209 is a deficient number, since it is larger than the sum of its proper divisors (3184507615).

90221412209 is a wasteful number, since it uses less digits than its factorization.

90221412209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16228.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 90221412209 in words is "ninety billion, two hundred twenty-one million, four hundred twelve thousand, two hundred nine".

Divisors: 1 41 101 1493 4141 14593 61213 150793 598313 1473893 6182513 21787349 60429613 893281309 2200522249 90221412209