Search a number
-
+
22212144 = 243529197
BaseRepresentation
bin101010010111…
…0111000110000
31112210111100000
41110232320300
521141242034
62112030000
7356541303
oct124567060
945714300
1022212144
11115a1349
127532300
1347a92a6
142d42b3a
151e3b599
hex152ee30

22212144 has 120 divisors (see below), whose sum is σ = 67026960. Its totient is φ = 7112448.

The previous prime is 22212133. The next prime is 22212187. The reversal of 22212144 is 44121222.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112654 + ... + 112850.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 222212144 is an apocalyptic number.

22212144 is a gapful number since it is divisible by the number (24) 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 22212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

22212144 is an abundant number, since it is smaller than the sum of its proper divisors (44814816).

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

22212144 is a wasteful number, since it uses less digits than its factorization.

22212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22212144 is about 4712.9761297931. The cubic root of 22212144 is about 281.1017138314.

Adding to 22212144 its reverse (44121222), we get a palindrome (66333366).

The spelling of 22212144 in words is "twenty-two million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 197 216 232 243 261 324 348 394 432 464 486 522 591 648 696 783 788 972 1044 1182 1296 1392 1566 1576 1773 1944 2088 2349 2364 3132 3152 3546 3888 4176 4698 4728 5319 5713 6264 7047 7092 9396 9456 10638 11426 12528 14094 14184 15957 17139 18792 21276 22852 28188 28368 31914 34278 37584 42552 45704 47871 51417 56376 63828 68556 85104 91408 95742 102834 112752 127656 137112 154251 191484 205668 255312 274224 308502 382968 411336 462753 617004 765936 822672 925506 1234008 1388259 1851012 2468016 2776518 3702024 5553036 7404048 11106072 22212144