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4220434440 = 2332511723429
BaseRepresentation
bin1111101110001110…
…1011100000001000
3101220010111021122200
43323203223200020
532120412400230
61534442320200
7206405046405
oct37343534010
911803437580
104220434440
111876363952
129994b9060
135234b1ab1
142c07352ac
1519a7b9160
hexfb8eb808

4220434440 has 48 divisors (see below), whose sum is σ = 13716413100. Its totient is φ = 1125449088.

The previous prime is 4220434429. The next prime is 4220434441. The reversal of 4220434440 is 444340224.

It is a happy number.

4220434440 is a `hidden beast` number, since 4 + 220 + 434 + 4 + 4 + 0 = 666.

4220434440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4144011876 + 76422564 = 64374^2 + 8742^2 .

It is a super-2 number, since 2×42204344402 = 35624133724676227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4220434441) 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, 5861355 + ... + 5862074.

Almost surely, 24220434440 is an apocalyptic number.

4220434440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4220434440 is an abundant number, since it is smaller than the sum of its proper divisors (9495978660).

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

4220434440 is a wasteful number, since it uses less digits than its factorization.

4220434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11723446 (or 11723439 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4220434440 is about 64964.8708149258. The cubic root of 4220434440 is about 1616.0410417067.

Adding to 4220434440 its reverse (444340224), we get a palindrome (4664774664).

The spelling of 4220434440 in words is "four billion, two hundred twenty million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11723429 23446858 35170287 46893716 58617145 70340574 93787432 105510861 117234290 140681148 175851435 211021722 234468580 281362296 351702870 422043444 468937160 527554305 703405740 844086888 1055108610 1406811480 2110217220 4220434440