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146440224 = 2534721153
BaseRepresentation
bin10001011101010…
…00000000100000
3101012112221020000
420232220000200
5244442041344
622310420000
73425502300
oct1056500040
9335487200
10146440224
1175730787
1241061600
1324453828
141563d600
15ccc9a69
hex8ba8020

146440224 has 180 divisors, whose sum is σ = 501425694. Its totient is φ = 41803776.

The previous prime is 146440207. The next prime is 146440237. The reversal of 146440224 is 422044641.

It is a happy number.

146440224 is a `hidden beast` number, since 14 + 644 + 0 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106750224 + 39690000 = 10332^2 + 6300^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126432 + ... + 127584.

Almost surely, 2146440224 is an apocalyptic number.

146440224 is a gapful number since it is divisible by the number (14) 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 146440224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250712847).

146440224 is an abundant number, since it is smaller than the sum of its proper divisors (354985470).

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

146440224 is a wasteful number, since it uses less digits than its factorization.

146440224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 146440224 is about 12101.2488611713. The cubic root of 146440224 is about 527.0924492180.

Adding to 146440224 its reverse (422044641), we get a palindrome (568484865).

The spelling of 146440224 in words is "one hundred forty-six million, four hundred forty thousand, two hundred twenty-four".