[go: up one dir, main page]

Search a number
-
+
22197168 = 2432719261
BaseRepresentation
bin101010010101…
…1001110110000
31112202201210100
41110223032300
521140302133
62111432400
7356446530
oct124531660
945681710
1022197168
1111591074
127525700
1347a2526
142d3b4c0
151e36e13
hex152b3b0

22197168 has 180 divisors, whose sum is σ = 76157328. Its totient is φ = 5909760.

The previous prime is 22197163. The next prime is 22197169. The reversal of 22197168 is 86179122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22197163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 363858 + ... + 363918.

Almost surely, 222197168 is an apocalyptic number.

22197168 is a gapful number since it is divisible by the number (28) 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 22197168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38078664).

22197168 is an abundant number, since it is smaller than the sum of its proper divisors (53960160).

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

22197168 is a wasteful number, since it uses less digits than its factorization.

22197168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 22197168 is about 4711.3870569080. The cubic root of 22197168 is about 281.0385242876.

The spelling of 22197168 in words is "twenty-two million, one hundred ninety-seven thousand, one hundred sixty-eight".