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3140222976 = 21832113
BaseRepresentation
bin1011101100101100…
…0000000000000000
322002211212212002200
42323023000000000
522412344113401
61235333513200
7140550312012
oct27313000000
98084785080
103140222976
111371635000
127377a2800
133b076c207
1421b0a81b2
15135a41686
hexbb2c0000

3140222976 has 228 divisors, whose sum is σ = 9978230184. Its totient is φ = 951582720.

The previous prime is 3140222947. The next prime is 3140222977. The reversal of 3140222976 is 6792220413.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×31402229762 = 19722000677996593152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3140222976.

It is not an unprimeable number, because it can be changed into a prime (3140222977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285474811 + ... + 285474821.

Almost surely, 23140222976 is an apocalyptic number.

3140222976 is a gapful number since it is divisible by the number (36) 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 3140222976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989115092).

3140222976 is an abundant number, since it is smaller than the sum of its proper divisors (6838007208).

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

3140222976 is an frugal number, since it uses more digits than its factorization.

3140222976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3140222976 is about 56037.6924578448. The cubic root of 3140222976 is about 1464.3790114285.

The spelling of 3140222976 in words is "three billion, one hundred forty million, two hundred twenty-two thousand, nine hundred seventy-six".