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66422500 = 22541632
BaseRepresentation
bin1111110101100…
…0011011100100
311121222121112121
43331120123210
5114001010000
610331355324
71434403414
oct375303344
9147877477
1066422500
1134548231
121a2b2b44
13109b8371
148b70644
155c70b1a
hex3f586e4

66422500 has 45 divisors (see below), whose sum is σ = 146149311. Its totient is φ = 26406000.

The previous prime is 66422479. The next prime is 66422513. The reversal of 66422500 is 522466.

The square root of 66422500 is 8150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 5207524 + 61214976 = 2282^2 + 7824^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 407419 + ... + 407581.

Almost surely, 266422500 is an apocalyptic number.

66422500 is the 8150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66422500

66422500 is an abundant number, since it is smaller than the sum of its proper divisors (79726811).

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

66422500 is an equidigital number, since it uses as much as digits as its factorization.

66422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 66422500 is about 404.9845038017.

Multiplying 66422500 by its sum of digits (25), we get a square (1660562500 = 407502).

66422500 divided by its sum of digits (25) gives a square (2656900 = 16302).

Adding to 66422500 its reverse (522466), we get a palindrome (66944966).

The spelling of 66422500 in words is "sixty-six million, four hundred twenty-two thousand, five hundred".