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90221040 = 2436571317
BaseRepresentation
bin1010110000010…
…10100111110000
320021202201000000
411120022213300
5141044033130
612541430000
72143603050
oct530124760
9207681000
1090221040
1146a22448
122626b300
13158cb740
14bda7560
157dc2260
hex560a9f0

90221040 has 560 divisors, whose sum is σ = 409848768. Its totient is φ = 17915904.

The previous prime is 90221017. The next prime is 90221051. The reversal of 90221040 is 4012209.

It is a tau number, because it is divible by the number of its divisors (560).

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 111 ways as a sum of consecutive naturals, for example, 5307112 + ... + 5307128.

Almost surely, 290221040 is an apocalyptic number.

90221040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204924384).

90221040 is an abundant number, since it is smaller than the sum of its proper divisors (319627728).

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

90221040 is a wasteful number, since it uses less digits than its factorization.

90221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 90221040 is about 9498.4756671794. The cubic root of 90221040 is about 448.5070523829.

Adding to 90221040 its reverse (4012209), we get a palindrome (94233249).

The spelling of 90221040 in words is "ninety million, two hundred twenty-one thousand, forty".