Search a number
-
+
2219196000 = 25353729911
BaseRepresentation
bin1000010001000110…
…0011111001100000
312201122210211121110
42010101203321200
514021103233000
61004113023320
7105664566120
oct20421437140
95648724543
102219196000
11a3975088a
1251b254b40
132949c2b38
14170a36c80
15cec5e850
hex84463e60

2219196000 has 384 divisors, whose sum is σ = 8604610560. Its totient is φ = 489216000.

The previous prime is 2219195999. The next prime is 2219196011. The reversal of 2219196000 is 6919122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2435545 + ... + 2436455.

It is an arithmetic number, because the mean of its divisors is an integer number (22407840).

Almost surely, 22219196000 is an apocalyptic number.

2219196000 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 2219196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302305280).

2219196000 is an abundant number, since it is smaller than the sum of its proper divisors (6385414560).

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

2219196000 is a wasteful number, since it uses less digits than its factorization.

2219196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 2219196000 is about 47108.3432100939. The cubic root of 2219196000 is about 1304.3632483201.

The spelling of 2219196000 in words is "two billion, two hundred nineteen million, one hundred ninety-six thousand".