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20122344 = 233511941
BaseRepresentation
bin100110011000…
…0101011101000
31101212022200000
41030300223220
520122403334
61555143000
7333015504
oct114605350
941768600
1020122344
11103a4240
1268a4a60
134227018
14295b304
151b77299
hex1330ae8

20122344 has 96 divisors (see below), whose sum is σ = 61719840. Its totient is φ = 6091200.

The previous prime is 20122343. The next prime is 20122369. The reversal of 20122344 is 44322102.

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

It is not an unprimeable number, because it can be changed into a prime (20122343) 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 23 ways as a sum of consecutive naturals, for example, 20914 + ... + 21854.

It is an arithmetic number, because the mean of its divisors is an integer number (642915).

Almost surely, 220122344 is an apocalyptic number.

20122344 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 20122344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30859920).

20122344 is an abundant number, since it is smaller than the sum of its proper divisors (41597496).

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

20122344 is a wasteful number, since it uses less digits than its factorization.

20122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20122344 is about 4485.7935752774. The cubic root of 20122344 is about 271.9941247289.

Adding to 20122344 its reverse (44322102), we get a palindrome (64444446).

It can be divided in two parts, 2012 and 2344, that added together give a square (4356 = 662).

The spelling of 20122344 in words is "twenty million, one hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 941 972 1188 1782 1882 1944 2376 2673 2823 3564 3764 5346 5646 7128 7528 8469 10351 10692 11292 16938 20702 21384 22584 25407 31053 33876 41404 50814 62106 67752 76221 82808 93159 101628 124212 152442 186318 203256 228663 248424 279477 304884 372636 457326 558954 609768 745272 838431 914652 1117908 1676862 1829304 2235816 2515293 3353724 5030586 6707448 10061172 20122344