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3140012220 = 2235439712547
BaseRepresentation
bin1011101100101000…
…1100100010111100
322002211111010222220
42323022030202330
522412320342340
61235325205340
7140545443402
oct27312144274
98084433886
103140012220
111371500724
12737700850
133b06c72c7
1421b051472
151359eded0
hexbb28c8bc

3140012220 has 96 divisors (see below), whose sum is σ = 9089971968. Its totient is φ = 809367552.

The previous prime is 3140012203. The next prime is 3140012221. The reversal of 3140012220 is 222100413.

3140012220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3140012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140012221) 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, 243987 + ... + 256533.

It is an arithmetic number, because the mean of its divisors is an integer number (94687208).

Almost surely, 23140012220 is an apocalyptic number.

3140012220 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 3140012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544985984).

3140012220 is an abundant number, since it is smaller than the sum of its proper divisors (5949959748).

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

3140012220 is a wasteful number, since it uses less digits than its factorization.

3140012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12699 (or 12697 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3140012220 is about 56035.8119420072. The cubic root of 3140012220 is about 1464.3462501066.

Adding to 3140012220 its reverse (222100413), we get a palindrome (3362112633).

The spelling of 3140012220 in words is "three billion, one hundred forty million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 97 129 172 194 215 258 291 388 430 485 516 582 645 860 970 1164 1290 1455 1940 2580 2910 4171 5820 8342 12513 12547 16684 20855 25026 25094 37641 41710 50052 50188 62565 62735 75282 83420 125130 125470 150564 188205 250260 250940 376410 539521 752820 1079042 1217059 1618563 2158084 2434118 2697605 3237126 3651177 4868236 5395210 6085295 6474252 7302354 8092815 10790420 12170590 14604708 16185630 18255885 24341180 32371260 36511770 52333537 73023540 104667074 157000611 209334148 261667685 314001222 523335370 628002444 785003055 1046670740 1570006110 3140012220