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22132424000 = 26538873119
BaseRepresentation
bin10100100111001100…
…011111110101000000
32010010110001122001102
4110213030133311000
5330311400032000
614100102353532
71412314333331
oct244714376500
963113048042
1022132424000
1194281a3805
12435812b8a8
132119408b9b
1410dd5b2288
1589808a3d5
hex52731fd40

22132424000 has 112 divisors (see below), whose sum is σ = 54890334720. Its totient is φ = 8840153600.

The previous prime is 22132423993. The next prime is 22132424059. The reversal of 22132424000 is 42423122.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7094441 + ... + 7097559.

Almost surely, 222132424000 is an apocalyptic number.

22132424000 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 22132424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27445167360).

22132424000 is an abundant number, since it is smaller than the sum of its proper divisors (32757910720).

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

22132424000 is an equidigital number, since it uses as much as digits as its factorization.

22132424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22132424000 its reverse (42423122), we get a palindrome (22174847122).

The spelling of 22132424000 in words is "twenty-two billion, one hundred thirty-two million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 887 1000 1600 1774 2000 3119 3548 4000 4435 6238 7096 8000 8870 12476 14192 15595 17740 22175 24952 28384 31190 35480 44350 49904 56768 62380 70960 77975 88700 99808 110875 124760 141920 155950 177400 199616 221750 249520 283840 311900 354800 389875 443500 499040 623800 709600 779750 887000 998080 1247600 1419200 1559500 1774000 2495200 2766553 3119000 3548000 4990400 5533106 6238000 7096000 11066212 12476000 13832765 22132424 24952000 27665530 44264848 55331060 69163825 88529696 110662120 138327650 177059392 221324240 276655300 345819125 442648480 553310600 691638250 885296960 1106621200 1383276500 2213242400 2766553000 4426484800 5533106000 11066212000 22132424000