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22493205000 = 233254721012
BaseRepresentation
bin10100111100101100…
…110001001000001000
32011001120221012112200
4110330230301020020
5332031230030000
614155551240200
71424255042100
oct247454611010
964046835480
1022493205000
1195a2911922
124438b19060
132176098276
141135488200
158b9aa3500
hex53cb31208

22493205000 has 540 divisors, whose sum is σ = 89438436945. Its totient is φ = 5090400000.

The previous prime is 22493204971. The next prime is 22493205001. The reversal of 22493205000 is 50239422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 1993265316 + 20499939684 = 44646^2 + 143178^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106050.

It is not an unprimeable number, because it can be changed into a prime (22493205001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 222704950 + ... + 222705050.

Almost surely, 222493205000 is an apocalyptic number.

22493205000 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 22493205000

22493205000 is an abundant number, since it is smaller than the sum of its proper divisors (66945231945).

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

22493205000 is a wasteful number, since it uses less digits than its factorization.

22493205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 22493205000 in words is "twenty-two billion, four hundred ninety-three million, two hundred five thousand".