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212015225400 = 2335211179179461
BaseRepresentation
bin1100010101110100010…
…1111001101000111000
3202021020201001101011120
43011131011321220320
511433201344203100
6241222022025240
721213635452446
oct3053505715070
9667221041146
10212015225400
1181a08081950
123510b578220
1316cba684ac4
14a393b43b96
1557ad2010a0
hex315d179a38

212015225400 has 192 divisors, whose sum is σ = 721006531200. Its totient is φ = 51110208000.

The previous prime is 212015225377. The next prime is 212015225407. The reversal of 212015225400 is 4522510212.

212015225400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2120152254003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212015225407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1091670 + ... + 1271130.

It is an arithmetic number, because the mean of its divisors is an integer number (3755242350).

Almost surely, 2212015225400 is an apocalyptic number.

212015225400 is a gapful number since it is divisible by the number (20) 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 212015225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360503265600).

212015225400 is an abundant number, since it is smaller than the sum of its proper divisors (508991305800).

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

212015225400 is a wasteful number, since it uses less digits than its factorization.

212015225400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179670 (or 179661 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 212015225400 its reverse (4522510212), we get a palindrome (216537735612).

The spelling of 212015225400 in words is "two hundred twelve billion, fifteen million, two hundred twenty-five thousand, four hundred".