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36235223040 = 213352312821
BaseRepresentation
bin100001101111110010…
…011010000000000000
310110112021222001101210
4201233302122000000
51043202204114130
624351330330120
72421641212452
oct415762320000
9113467861353
1036235223040
1114404925425
127033129940
1335560cb5a3
141a7a5a82d2
15e212275b0
hex86fc9a000

36235223040 has 224 divisors, whose sum is σ = 120996187776. Its totient is φ = 9241886720.

The previous prime is 36235223039. The next prime is 36235223041. The reversal of 36235223040 is 4032253263.

It is an interprime number because it is at equal distance from previous prime (36235223039) and next prime (36235223041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36235222989 and 36235223007.

It is not an unprimeable number, because it can be changed into a prime (36235223041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2819830 + ... + 2832650.

Almost surely, 236235223040 is an apocalyptic number.

36235223040 is a gapful number since it is divisible by the number (30) 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 36235223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60498093888).

36235223040 is an abundant number, since it is smaller than the sum of its proper divisors (84760964736).

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

36235223040 is a wasteful number, since it uses less digits than its factorization.

36235223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12878 (or 12854 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 36235223040 in words is "thirty-six billion, two hundred thirty-five million, two hundred twenty-three thousand, forty".