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204922900000 = 255572133217
BaseRepresentation
bin1011111011011001011…
…0110100111000100000
3201120221102120220202001
42332312112310320200
511324140230300000
6234050144533344
720543115624100
oct2766626647040
9646842526661
10204922900000
11799a86a88a5
1233870321254
131642a1c4660
149cbdc33200
1554e574b46a
hex2fb65b4e20

204922900000 has 432 divisors, whose sum is σ = 631919445192. Its totient is φ = 64834560000.

The previous prime is 204922899997. The next prime is 204922900003. The reversal of 204922900000 is 9229402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204922899997) and next prime (204922900003).

It can be written as a sum of positive squares in 12 ways, for example, as 86947137424 + 117975762576 = 294868^2 + 343476^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204922900003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63698392 + ... + 63701608.

Almost surely, 2204922900000 is an apocalyptic number.

204922900000 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 204922900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315959722596).

204922900000 is an abundant number, since it is smaller than the sum of its proper divisors (426996545192).

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

204922900000 is an equidigital number, since it uses as much as digits as its factorization.

204922900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 204922900000 in words is "two hundred four billion, nine hundred twenty-two million, nine hundred thousand".