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22123343000 = 23531110119913
BaseRepresentation
bin10100100110101001…
…110110110010011000
32010002210222021021002
4110212221312302120
5330302033434000
614055140004132
71412144212163
oct244651666230
963083867232
1022123343000
119423061050
124355090648
132117579705
1410dc2caada
158973948d5
hex526a76c98

22123343000 has 128 divisors (see below), whose sum is σ = 57036882240. Its totient is φ = 7964800000.

The previous prime is 22123342979. The next prime is 22123343003. The reversal of 22123343000 is 34332122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123343003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101044 + ... + 1120956.

Almost surely, 222123343000 is an apocalyptic number.

22123343000 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 22123343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28518441120).

22123343000 is an abundant number, since it is smaller than the sum of its proper divisors (34913539240).

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

22123343000 is a wasteful number, since it uses less digits than its factorization.

22123343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20046 (or 20032 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 22123343000 its reverse (34332122), we get a palindrome (22157675122).

The spelling of 22123343000 in words is "twenty-two billion, one hundred twenty-three million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 19913 20200 22220 25250 27775 39826 44440 50500 55550 79652 99565 101000 111100 138875 159304 199130 219043 222200 277750 398260 438086 497825 555500 796520 876172 995650 1095215 1111000 1752344 1991300 2011213 2190430 2489125 3982600 4022426 4380860 4978250 5476075 8044852 8761720 9956500 10056065 10952150 16089704 19913000 20112130 21904300 22123343 27380375 40224260 43808600 44246686 50280325 54760750 80448520 88493372 100560650 109521500 110616715 176986744 201121300 219043000 221233430 251401625 402242600 442466860 502803250 553083575 884933720 1005606500 1106167150 2011213000 2212334300 2765417875 4424668600 5530835750 11061671500 22123343000