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142210200 = 233521129743
BaseRepresentation
bin10000111100111…
…11010010011000
3100220121000201110
420132133102120
5242401211300
622040020320
73344523666
oct1036372230
9326530643
10142210200
11733016a0
123b7616a0
1323602362
1414c5bc36
15c741550
hex879f498

142210200 has 192 divisors, whose sum is σ = 498182400. Its totient is φ = 33241600.

The previous prime is 142210199. The next prime is 142210207. The reversal of 142210200 is 2012241.

142210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142210207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191029 + ... + 191771.

It is an arithmetic number, because the mean of its divisors is an integer number (2594700).

Almost surely, 2142210200 is an apocalyptic number.

142210200 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 142210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249091200).

142210200 is an abundant number, since it is smaller than the sum of its proper divisors (355972200).

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

142210200 is a wasteful number, since it uses less digits than its factorization.

142210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 142210200 is about 11925.1918223566. The cubic root of 142210200 is about 521.9676438012.

Adding to 142210200 its reverse (2012241), we get a palindrome (144222441).

The spelling of 142210200 in words is "one hundred forty-two million, two hundred ten thousand, two hundred".