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4233440000 = 285426459
BaseRepresentation
bin1111110001010101…
…0010101100000000
3101221000222000221002
43330111102230000
532132230040000
61540025151132
7206623434446
oct37425225400
911830860832
104233440000
111882737149
129a192b4a8
135260b66aa
142c235cb96
1519b9d78d5
hexfc552b00

4233440000 has 90 divisors (see below), whose sum is σ = 10559947860. Its totient is φ = 1693312000.

The previous prime is 4233439997. The next prime is 4233440009. The reversal of 4233440000 is 443324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4233440009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 146771 + ... + 173229.

It is an arithmetic number, because the mean of its divisors is an integer number (117332754).

Almost surely, 24233440000 is an apocalyptic number.

4233440000 is a gapful number since it is divisible by the number (40) 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 4233440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279973930).

4233440000 is an abundant number, since it is smaller than the sum of its proper divisors (6326507860).

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

4233440000 is an frugal number, since it uses more digits than its factorization.

4233440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26495 (or 26466 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4233440000 is about 65064.8906861450. The cubic root of 4233440000 is about 1617.6993201719.

Adding to 4233440000 its reverse (443324), we get a palindrome (4233883324).

The spelling of 4233440000 in words is "four billion, two hundred thirty-three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 26459 32000 40000 52918 80000 105836 132295 160000 211672 264590 423344 529180 661475 846688 1058360 1322950 1693376 2116720 2645900 3307375 3386752 4233440 5291800 6614750 6773504 8466880 10583600 13229500 16536875 16933760 21167200 26459000 33073750 33867520 42334400 52918000 66147500 84668800 105836000 132295000 169337600 211672000 264590000 423344000 529180000 846688000 1058360000 2116720000 4233440000