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20225691552 = 25311131293499
BaseRepresentation
bin10010110101100010…
…111000111110100000
31221012120012120212010
4102311202320332200
5312410234112202
613142550432520
71314132353523
oct226542707640
957176176763
1020225691552
11863996a470
123b05662740
131ba4388b31
14d9c274bba
157d599c76c
hex4b58b8fa0

20225691552 has 192 divisors, whose sum is σ = 58677696000. Its totient is φ = 6049305600.

The previous prime is 20225691547. The next prime is 20225691569. The reversal of 20225691552 is 25519652202.

It is a self number, because there is not a number n which added to its sum of digits gives 20225691552.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40532199 + ... + 40532697.

It is an arithmetic number, because the mean of its divisors is an integer number (305613000).

Almost surely, 220225691552 is an apocalyptic number.

20225691552 is a gapful number since it is divisible by the number (22) 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 20225691552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29338848000).

20225691552 is an abundant number, since it is smaller than the sum of its proper divisors (38452004448).

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

20225691552 is a wasteful number, since it uses less digits than its factorization.

20225691552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 20225691552 in words is "twenty billion, two hundred twenty-five million, six hundred ninety-one thousand, five hundred fifty-two".