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90223848 = 2333111323127
BaseRepresentation
bin1010110000010…
…11010011101000
320021202211212000
411120023103220
5141044130343
612541451000
72143614201
oct530132350
9207684760
1090223848
1146a24570
1226270a60
13158ccac0
14bda85a8
157dc2ed3
hex560b4e8

90223848 has 256 divisors, whose sum is σ = 309657600. Its totient is φ = 23950080.

The previous prime is 90223807. The next prime is 90223849. The reversal of 90223848 is 84832209.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90223849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710361 + ... + 710487.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 290223848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90223848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

90223848 is an abundant number, since it is smaller than the sum of its proper divisors (219433752).

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

90223848 is a wasteful number, since it uses less digits than its factorization.

90223848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 90223848 is about 9498.6234792206. The cubic root of 90223848 is about 448.5117053801.

The spelling of 90223848 in words is "ninety million, two hundred twenty-three thousand, eight hundred forty-eight".