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141223200 = 25352192163
BaseRepresentation
bin10000110101011…
…10010100100000
3100211201212210220
420122232110200
5242123120300
622002523040
73333243306
oct1032562440
9324655726
10141223200
1172798098
123b366480
1323348031
1414a82276
15c5e8da0
hex86ae520

141223200 has 216 divisors, whose sum is σ = 488125008. Its totient is φ = 35458560.

The previous prime is 141223171. The next prime is 141223213. The reversal of 141223200 is 2322141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 141223200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 866319 + ... + 866481.

It is an arithmetic number, because the mean of its divisors is an integer number (2259838).

Almost surely, 2141223200 is an apocalyptic number.

141223200 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 141223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244062504).

141223200 is an abundant number, since it is smaller than the sum of its proper divisors (346901808).

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

141223200 is a wasteful number, since it uses less digits than its factorization.

141223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 141223200 is about 11883.7367860450. The cubic root of 141223200 is about 520.7572792771.

Adding to 141223200 its reverse (2322141), we get a palindrome (143545341).

The spelling of 141223200 in words is "one hundred forty-one million, two hundred twenty-three thousand, two hundred".