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2230707672 = 23323153109173
BaseRepresentation
bin1000010011110101…
…1110010111011000
312202110110200122200
42010331132113120
514032030121142
61005203450200
7106164462624
oct20475362730
95673420580
102230707672
11a451a3766
12523086960
132971c378b
14172392184
15d0c8564c
hex84f5e5d8

2230707672 has 192 divisors, whose sum is σ = 6449414400. Its totient is φ = 695485440.

The previous prime is 2230707643. The next prime is 2230707697. The reversal of 2230707672 is 2767070322.

It is a super-3 number, since 3×22307076723 (a number of 29 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12894178 + ... + 12894350.

It is an arithmetic number, because the mean of its divisors is an integer number (33590700).

Almost surely, 22230707672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230707672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224707200).

2230707672 is an abundant number, since it is smaller than the sum of its proper divisors (4218706728).

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

2230707672 is a wasteful number, since it uses less digits than its factorization.

2230707672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 2230707672 is about 47230.3681120527. The cubic root of 2230707672 is about 1306.6147413884.

Adding to 2230707672 its reverse (2767070322), we get a palindrome (4997777994).

The spelling of 2230707672 in words is "two billion, two hundred thirty million, seven hundred seven thousand, six hundred seventy-two".