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141208200 = 233252721601
BaseRepresentation
bin10000110101010…
…10101010001000
3100211201010020100
420122222222020
5242122130300
622002325400
73333151500
oct1032525210
9324633210
10141208200
11727878a1
123b359860
1323341263
1414a7aa00
15c5e4700
hex86aaa88

141208200 has 216 divisors, whose sum is σ = 551993130. Its totient is φ = 32256000.

The previous prime is 141208157. The next prime is 141208217. The reversal of 141208200 is 2802141.

It can be written as a sum of positive squares in 3 ways, for example, as 137311524 + 3896676 = 11718^2 + 1974^2 .

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

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 53 ways as a sum of consecutive naturals, for example, 87400 + ... + 89000.

Almost surely, 2141208200 is an apocalyptic number.

141208200 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 141208200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275996565).

141208200 is an abundant number, since it is smaller than the sum of its proper divisors (410784930).

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

141208200 is a wasteful number, since it uses less digits than its factorization.

141208200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 141208200 is about 11883.1056546679. The cubic root of 141208200 is about 520.7388412400.

The spelling of 141208200 in words is "one hundred forty-one million, two hundred eight thousand, two hundred".