Search a number
-
+
2220120000 = 2632547881
BaseRepresentation
bin1000010001010100…
…0101011111000000
312201201112210002200
42010111011133000
514021322320000
61004144513200
7106005465030
oct20425053700
95651483080
102220120000
11a3a22201a
1251b61b800
13294c57597
14170bd78c0
15ced93500
hex845457c0

2220120000 has 420 divisors, whose sum is σ = 9098225136. Its totient is φ = 506880000.

The previous prime is 2220119987. The next prime is 2220120013. The reversal of 2220120000 is 210222.

It is an interprime number because it is at equal distance from previous prime (2220119987) and next prime (2220120013).

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2519560 + ... + 2520440.

Almost surely, 22220120000 is an apocalyptic number.

2220120000 is a gapful number since it is divisible by the number (20) 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 2220120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549112568).

2220120000 is an abundant number, since it is smaller than the sum of its proper divisors (6878105136).

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

2220120000 is an equidigital number, since it uses as much as digits as its factorization.

2220120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2220120000 is about 47118.1493694309. The cubic root of 2220120000 is about 1304.5442544753.

Adding to 2220120000 its reverse (210222), we get a palindrome (2220330222).

The spelling of 2220120000 in words is "two billion, two hundred twenty million, one hundred twenty thousand".