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22123241400 = 23352132836313
BaseRepresentation
bin10100100110101001…
…011101111110111000
32010002210210002220010
4110212221131332320
5330302022211100
614055133501520
71412143310031
oct244651357670
963083702803
1022123241400
119422aa1787
1243550418a0
1321175423b0
1410dc2a1a88
15897374750
hex526a5dfb8

22123241400 has 96 divisors (see below), whose sum is σ = 73857616560. Its totient is φ = 5445719040.

The previous prime is 22123241381. The next prime is 22123241461. The reversal of 22123241400 is 414232122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1410357 + ... + 1425956.

Almost surely, 222123241400 is an apocalyptic number.

22123241400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22123241400 is an abundant number, since it is smaller than the sum of its proper divisors (51734375160).

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

22123241400 is a wasteful number, since it uses less digits than its factorization.

22123241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836345 (or 2836336 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22123241400 its reverse (414232122), we get a palindrome (22537473522).

The spelling of 22123241400 in words is "twenty-two billion, one hundred twenty-three million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 2836313 5672626 8508939 11345252 14181565 17017878 22690504 28363130 34035756 36872069 42544695 56726260 68071512 70907825 73744138 85089390 110616207 113452520 141815650 147488276 170178780 184360345 212723475 221232414 283631300 294976552 340357560 368720690 425446950 442464828 553081035 567262600 737441380 850893900 884929656 921801725 1106162070 1474882760 1701787800 1843603450 2212324140 2765405175 3687206900 4424648280 5530810350 7374413800 11061620700 22123241400