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23217939225 = 36521343253
BaseRepresentation
bin10101100111111001…
…011010001100011001
32012221002122112000000
4111213321122030121
5340022243023400
614355521003213
71451235140625
oct254771321431
965832575000
1023217939225
119934a15428
1245bb783509
1322602878a0
1411a3820185
1590d50e600
hex567e5a319

23217939225 has 252 divisors, whose sum is σ = 48490232364. Its totient is φ = 10953895680.

The previous prime is 23217939221. The next prime is 23217939263. The reversal of 23217939225 is 52293971232.

23217939225 is a `hidden beast` number, since 2 + 321 + 79 + 39 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1133601561 + 22084337664 = 33669^2 + 148608^2 .

It is not a de Polignac number, because 23217939225 - 22 = 23217939221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (408240) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23217939221) 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 251 ways as a sum of consecutive naturals, for example, 438074299 + ... + 438074351.

It is an arithmetic number, because the mean of its divisors is an integer number (192421557).

Almost surely, 223217939225 is an apocalyptic number.

23217939225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23217939225 is an abundant number, since it is smaller than the sum of its proper divisors (25272293139).

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

23217939225 is an equidigital number, since it uses as much as digits as its factorization.

23217939225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 117 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 23217939225 in words is "twenty-three billion, two hundred seventeen million, nine hundred thirty-nine thousand, two hundred twenty-five".