Search a number
-
+
2197820196 = 223311131011409
BaseRepresentation
bin1000001100000000…
…0001001100100100
312200011120211112000
42003000001030210
514000120221241
61002030525300
7105315110025
oct20300011444
95604524460
102197820196
11a28680930
12514066830
1329044a430
1416bc70c4c
15cce3aeb6
hex83001324

2197820196 has 192 divisors, whose sum is σ = 6765292800. Its totient is φ = 608256000.

The previous prime is 2197820189. The next prime is 2197820221. The reversal of 2197820196 is 6910287912.

It is a super-2 number, since 2×21978201962 = 9660827227890956832, which contains 22 as substring.

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, 1559140 + ... + 1560548.

It is an arithmetic number, because the mean of its divisors is an integer number (35235900).

Almost surely, 22197820196 is an apocalyptic number.

2197820196 is a gapful number since it is divisible by the number (26) 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 2197820196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382646400).

2197820196 is an abundant number, since it is smaller than the sum of its proper divisors (4567472604).

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

2197820196 is a wasteful number, since it uses less digits than its factorization.

2197820196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2197820196 is about 46880.9150507965. The cubic root of 2197820196 is about 1300.1617542317.

The spelling of 2197820196 in words is "two billion, one hundred ninety-seven million, eight hundred twenty thousand, one hundred ninety-six".