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22013323000 = 2353231915011
BaseRepresentation
bin10100100000000110…
…001010011011111000
32002211010221200012021
4110200012022123320
5330040402314000
614040205524224
71406340105154
oct244006123370
962733850167
1022013323000
119376a46429
124324273674
1320ca838216
1410cb84c064
1588c8b111a
hex52018a6f8

22013323000 has 128 divisors (see below), whose sum is σ = 54042992640. Its totient is φ = 8376720000.

The previous prime is 22013322959. The next prime is 22013323009. The reversal of 22013323000 is 32331022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013323009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4390495 + ... + 4395505.

It is an arithmetic number, because the mean of its divisors is an integer number (422210880).

Almost surely, 222013323000 is an apocalyptic number.

22013323000 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 22013323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27021496320).

22013323000 is an abundant number, since it is smaller than the sum of its proper divisors (32029669640).

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

22013323000 is a wasteful number, since it uses less digits than its factorization.

22013323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 22013323000 its reverse (32331022), we get a palindrome (22045654022).

The spelling of 22013323000 in words is "twenty-two billion, thirteen million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 191 200 230 250 382 460 500 575 764 920 955 1000 1150 1528 1910 2300 2875 3820 4393 4600 4775 5011 5750 7640 8786 9550 10022 11500 17572 19100 20044 21965 23000 23875 25055 35144 38200 40088 43930 47750 50110 87860 95500 100220 109825 115253 125275 175720 191000 200440 219650 230506 250550 439300 461012 501100 549125 576265 626375 878600 922024 957101 1002200 1098250 1152530 1252750 1914202 2196500 2305060 2505500 2881325 3828404 4393000 4610120 4785505 5011000 5762650 7656808 9571010 11525300 14406625 19142020 22013323 23050600 23927525 28813250 38284040 44026646 47855050 57626500 88053292 95710100 110066615 115253000 119637625 176106584 191420200 220133230 239275250 440266460 478550500 550333075 880532920 957101000 1100666150 2201332300 2751665375 4402664600 5503330750 11006661500 22013323000