Search a number
-
+
22220120 = 23513219173
BaseRepresentation
bin101010011000…
…0110101011000
31112210220021102
41110300311120
521142020440
62112130532
7356603456
oct124606530
945726242
1022220120
11115a733a
127536a48
1347acb00
142d459d6
151e3db15
hex1530d58

22220120 has 96 divisors (see below), whose sum is σ = 57315600. Its totient is φ = 7727616.

The previous prime is 22220117. The next prime is 22220131. The reversal of 22220120 is 2102222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128354 + ... + 128526.

Almost surely, 222220120 is an apocalyptic number.

22220120 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 22220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28657800).

22220120 is an abundant number, since it is smaller than the sum of its proper divisors (35095480).

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

22220120 is a wasteful number, since it uses less digits than its factorization.

22220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 22220120 is about 4713.8222282984. The cubic root of 22220120 is about 281.1353560732.

Adding to 22220120 its reverse (2102222), we get a palindrome (24322342).

The spelling of 22220120 in words is "twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 169 173 190 247 260 338 346 380 494 520 676 692 760 845 865 988 1235 1352 1384 1690 1730 1976 2249 2470 3211 3287 3380 3460 4498 4940 6422 6574 6760 6920 8996 9880 11245 12844 13148 16055 16435 17992 22490 25688 26296 29237 32110 32870 42731 44980 58474 64220 65740 85462 89960 116948 128440 131480 146185 170924 213655 233896 292370 341848 427310 555503 584740 854620 1111006 1169480 1709240 2222012 2777515 4444024 5555030 11110060 22220120