[go: up one dir, main page]

Search a number
-
+
22198176 = 25327211213
BaseRepresentation
bin101010010101…
…1011110100000
31112202210011200
41110223132200
521140320201
62111441200
7356452500
oct124533640
945683150
1022198176
1111591900
127526200
1347a2b20
142d3ba00
151e37386
hex152b7a0

22198176 has 324 divisors, whose sum is σ = 86923746. Its totient is φ = 5322240.

The previous prime is 22198129. The next prime is 22198193. The reversal of 22198176 is 67189122.

It can be written as a sum of positive squares in only one way, i.e., 21344400 + 853776 = 4620^2 + 924^2 .

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.

Its product of digits (12096) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22198176.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1707546 + ... + 1707558.

Almost surely, 222198176 is an apocalyptic number.

22198176 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 22198176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43461873).

22198176 is an abundant number, since it is smaller than the sum of its proper divisors (64725570).

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

22198176 is a wasteful number, since it uses less digits than its factorization.

22198176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 36 counting only the distinct ones).

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

The square root of 22198176 is about 4711.4940305597. The cubic root of 22198176 is about 281.0427783220.

22198176 divided by its sum of digits (36) gives a palindrome (616616).

The spelling of 22198176 in words is "twenty-two million, one hundred ninety-eight thousand, one hundred seventy-six".