Search a number
-
+
4002200000 = 265520011
BaseRepresentation
bin1110111010001100…
…1011100111000000
3101022220211211021122
43232203023213000
531144030400000
61501045011412
7201115065401
oct35643134700
911286754248
104002200000
111774157107
129383b3b68
134ba211ba6
1429d7679a8
1518655c085
hexee8cb9c0

4002200000 has 84 divisors (see below), whose sum is σ = 9927192744. Its totient is φ = 1600800000.

The previous prime is 4002199997. The next prime is 4002200009. The reversal of 4002200000 is 22004.

4002200000 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 (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002200009) 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, 189995 + ... + 210005.

It is an arithmetic number, because the mean of its divisors is an integer number (118180866).

Almost surely, 24002200000 is an apocalyptic number.

4002200000 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 4002200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963596372).

4002200000 is an abundant number, since it is smaller than the sum of its proper divisors (5924992744).

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

4002200000 is an frugal number, since it uses more digits than its factorization.

4002200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20048 (or 20018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 4002200000 is about 63262.9433396835. The cubic root of 4002200000 is about 1587.6920221564.

Adding to 4002200000 its reverse (22004), we get a palindrome (4002222004).

The spelling of 4002200000 in words is "four billion, two million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 20011 25000 40000 40022 50000 80044 100000 100055 160088 200000 200110 320176 400220 500275 640352 800440 1000550 1280704 1600880 2001100 2501375 3201760 4002200 5002750 6403520 8004400 10005500 12506875 16008800 20011000 25013750 32017600 40022000 50027500 62534375 80044000 100055000 125068750 160088000 200110000 250137500 400220000 500275000 800440000 1000550000 2001100000 4002200000