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3665226240 = 29335134079
BaseRepresentation
bin1101101001110110…
…1110101000000000
3100110102202210012000
43122131232220000
530001244214430
61403410304000
7156553623534
oct33235565000
910412683160
103665226240
111610a197a5
12863588000
13465469b30
1426aacbbc4
15166b97e60
hexda76ea00

3665226240 has 320 divisors, whose sum is σ = 14024102400. Its totient is φ = 901988352.

The previous prime is 3665226233. The next prime is 3665226241. The reversal of 3665226240 is 426225663.

3665226240 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 22 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 3665226195 and 3665226204.

It is not an unprimeable number, because it can be changed into a prime (3665226241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896521 + ... + 900599.

It is an arithmetic number, because the mean of its divisors is an integer number (43825320).

Almost surely, 23665226240 is an apocalyptic number.

3665226240 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 3665226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012051200).

3665226240 is an abundant number, since it is smaller than the sum of its proper divisors (10358876160).

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

3665226240 is a wasteful number, since it uses less digits than its factorization.

3665226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3665226240 is about 60541.1119818591. Note that the first 3 decimals coincide. The cubic root of 3665226240 is about 1541.8197188135.

The spelling of 3665226240 in words is "three billion, six hundred sixty-five million, two hundred twenty-six thousand, two hundred forty".