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20235422592 = 273572111771
BaseRepresentation
bin10010110110001000…
…000000101110000000
31221020020111222100000
4102312020000232000
5312420232010332
613143535200000
71314311153100
oct226610005600
957206458300
1020235422592
118644406550
123b08976000
131ba63b5148
14d9d689200
157d6770b7c
hex4b6200b80

20235422592 has 1152 divisors, whose sum is σ = 82281588480. Its totient is φ = 4877107200.

The previous prime is 20235422591. The next prime is 20235422671. The reversal of 20235422592 is 29522453202.

It is a happy number.

20235422592 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 542 + 25 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20235422591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 285005917 + ... + 285005987.

It is an arithmetic number, because the mean of its divisors is an integer number (71424990).

Almost surely, 220235422592 is an apocalyptic number.

20235422592 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 20235422592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140794240).

20235422592 is an abundant number, since it is smaller than the sum of its proper divisors (62046165888).

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

20235422592 is a wasteful number, since it uses less digits than its factorization.

20235422592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 20235422592 its reverse (29522453202), we get a palindrome (49757875794).

The spelling of 20235422592 in words is "twenty billion, two hundred thirty-five million, four hundred twenty-two thousand, five hundred ninety-two".