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205224000000 = 2935617503
BaseRepresentation
bin1011111100100001001…
…1011011101000000000
3201121201102011101021220
42333020103123220000
511330244321000000
6234140102315040
720553433134465
oct2771023335000
9647642141256
10205224000000
117a042663778
1233935128a80
13164776b9036
149d0bc1166c
155511dc61a0
hex2fc84dba00

205224000000 has 560 divisors, whose sum is σ = 725041969344. Its totient is φ = 51404800000.

The previous prime is 205223999999. The next prime is 205224000001. The reversal of 205224000000 is 422502.

It is an interprime number because it is at equal distance from previous prime (205223999999) and next prime (205224000001).

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

It is not an unprimeable number, because it can be changed into a prime (205224000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 407999749 + ... + 408000251.

Almost surely, 2205224000000 is an apocalyptic number.

205224000000 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 205224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362520984672).

205224000000 is an abundant number, since it is smaller than the sum of its proper divisors (519817969344).

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

205224000000 is an frugal number, since it uses more digits than its factorization.

205224000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

Adding to 205224000000 its reverse (422502), we get a palindrome (205224422502).

The spelling of 205224000000 in words is "two hundred five billion, two hundred twenty-four million", and thus it is an aban number.