205214155300 has 288 divisors, whose sum is σ = 602209956096. Its totient is φ = 58730496000.

The previous prime is 205214155243. The next prime is 205214155301. The reversal of 205214155300 is 3551412502.

It is a super-2 number, since 2×205214155300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (205214155301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5347782 + ... + 5386018.

It is an arithmetic number, because the mean of its divisors is an integer number (2091006792).

Almost surely, 2^205214155300 is an apocalyptic number.

205214155300 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 205214155300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301104978048).

205214155300 is an abundant number, since it is smaller than the sum of its proper divisors (396995800796).

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

205214155300 is a wasteful number, since it uses less digits than its factorization.

205214155300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38327 (or 38320 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 205214155300 its reverse (3551412502), we get a palindrome (208765567802).

The spelling of 205214155300 in words is "two hundred five billion, two hundred fourteen million, one hundred fifty-five thousand, three hundred".