[go: up one dir, main page]

Search a number
-
+
22216160 = 255236037
BaseRepresentation
bin101010010111…
…1110111100000
31112210200211202
41110233313200
521141404120
62112100332
7356556101
oct124576740
945720752
1022216160
11115a436a
1275346a8
1347ab075
142d443a8
151e3c875
hex152fde0

22216160 has 48 divisors (see below), whose sum is σ = 54776736. Its totient is φ = 8498688.

The previous prime is 22216157. The next prime is 22216199. The reversal of 22216160 is 6161222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662 + ... + 6698.

It is an arithmetic number, because the mean of its divisors is an integer number (1141182).

Almost surely, 222216160 is an apocalyptic number.

22216160 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 22216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27388368).

22216160 is an abundant number, since it is smaller than the sum of its proper divisors (32560576).

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

22216160 is a wasteful number, since it uses less digits than its factorization.

22216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6075 (or 6067 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 22216160 is about 4713.4021682857. The cubic root of 22216160 is about 281.1186540609.

Adding to 22216160 its reverse (6161222), we get a palindrome (28377382).

The spelling of 22216160 in words is "twenty-two million, two hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 6037 12074 24148 30185 48296 60370 96592 120740 138851 193184 241480 277702 482960 555404 694255 965920 1110808 1388510 2221616 2777020 4443232 5554040 11108080 22216160