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9935230320 = 24325127179607
BaseRepresentation
bin10010100000010111…
…11001010101110000
3221122101212222211100
421100023321111300
5130321404332240
64321510244400
7501130031031
oct112013712560
927571788740
109935230320
1142391a6654
121b13356700
13c24460512
146a3702a88
153d2366e30
hex2502f9570

9935230320 has 240 divisors, whose sum is σ = 33872117760. Its totient is φ = 2609542656.

The previous prime is 9935230307. The next prime is 9935230337. The reversal of 9935230320 is 230325399.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×99352303202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16367457 + ... + 16368063.

It is an arithmetic number, because the mean of its divisors is an integer number (141133824).

Almost surely, 29935230320 is an apocalyptic number.

9935230320 is a gapful number since it is divisible by the number (90) 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 9935230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936058880).

9935230320 is an abundant number, since it is smaller than the sum of its proper divisors (23936887440).

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

9935230320 is a wasteful number, since it uses less digits than its factorization.

9935230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 9935230320 is about 99675.6255059380. The cubic root of 9935230320 is about 2149.7732098982.

The spelling of 9935230320 in words is "nine billion, nine hundred thirty-five million, two hundred thirty thousand, three hundred twenty".