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22244112 = 24331131151
BaseRepresentation
bin101010011011…
…0101100010000
31112212010012000
41110312230100
521143302422
62112434000
7360033432
oct124665420
945763160
1022244112
1111613370
127548900
1347ba9c7
142d50652
151e45cac
hex1536b10

22244112 has 160 divisors (see below), whose sum is σ = 72376320. Its totient is φ = 6480000.

The previous prime is 22244111. The next prime is 22244119. The reversal of 22244112 is 21144222.

22244112 is a `hidden beast` number, since 222 + 441 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22244111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 147237 + ... + 147387.

It is an arithmetic number, because the mean of its divisors is an integer number (452352).

Almost surely, 222244112 is an apocalyptic number.

22244112 is a gapful number since it is divisible by the number (22) 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 22244112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36188160).

22244112 is an abundant number, since it is smaller than the sum of its proper divisors (50132208).

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

22244112 is a wasteful number, since it uses less digits than its factorization.

22244112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

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

The square root of 22244112 is about 4716.3663979805. The cubic root of 22244112 is about 281.2365042413.

Adding to 22244112 its reverse (21144222), we get a palindrome (43388334).

It can be divided in two parts, 2224 and 4112, that added together give a palindrome (6336).

The spelling of 22244112 in words is "twenty-two million, two hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 151 176 186 198 216 248 264 279 297 302 341 372 396 432 453 496 528 558 594 604 682 744 792 837 906 1023 1116 1188 1208 1359 1364 1488 1584 1661 1674 1812 2046 2232 2376 2416 2718 2728 3069 3322 3348 3624 4077 4092 4464 4681 4752 4983 5436 5456 6138 6644 6696 7248 8154 8184 9207 9362 9966 10872 12276 13288 13392 14043 14949 16308 16368 18414 18724 19932 21744 24552 26576 28086 29898 32616 36828 37448 39864 42129 44847 49104 51491 56172 59796 65232 73656 74896 79728 84258 89694 102982 112344 119592 126387 147312 154473 168516 179388 205964 224688 239184 252774 308946 337032 358776 411928 463419 505548 617892 674064 717552 823856 926838 1011096 1235784 1390257 1853676 2022192 2471568 2780514 3707352 5561028 7414704 11122056 22244112