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144520200 = 23345211811
BaseRepresentation
bin10001001110100…
…11010000001000
3101001221101110000
420213103100020
5243444121300
622201323000
73403254456
oct1047232010
9331841400
10144520200
117463a190
1240496460
1323c30916
141529d9d6
15ca4ac00
hex89d3408

144520200 has 240 divisors, whose sum is σ = 548246160. Its totient is φ = 34992000.

The previous prime is 144520183. The next prime is 144520219. The reversal of 144520200 is 2025441.

144520200 is a `hidden beast` number, since 1 + 445 + 20 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 177795 + ... + 178605.

It is an arithmetic number, because the mean of its divisors is an integer number (2284359).

Almost surely, 2144520200 is an apocalyptic number.

144520200 is a gapful number since it is divisible by the number (10) 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 144520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274123080).

144520200 is an abundant number, since it is smaller than the sum of its proper divisors (403725960).

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

144520200 is a wasteful number, since it uses less digits than its factorization.

144520200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 144520200 is about 12021.6554600438. The cubic root of 144520200 is about 524.7786822251.

Adding to 144520200 its reverse (2025441), we get a palindrome (146545641).

The spelling of 144520200 in words is "one hundred forty-four million, five hundred twenty thousand, two hundred".