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22142344031200 = 2552127217936457
BaseRepresentation
bin1010000100011011010101…
…00011001110101111100000
32220101210021000201100200101
411002031222203032233200
510400240010032444300
6115032015153432144
74443505632565321
oct502155243165740
986353230640611
1022142344031200
117067573a57328
12259740226b654
13c48024c2a8b3
145679a378a448
15285e8e752b6a
hex14236a8cebe0

22142344031200 has 72 divisors (see below), whose sum is σ = 54480627516672. Its totient is φ = 8787197905920.

The previous prime is 22142344031191. The next prime is 22142344031209. The reversal of 22142344031200 is 213044324122.

It is an interprime number because it is at equal distance from previous prime (22142344031191) and next prime (22142344031209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142344031209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108866629 + ... + 109069828.

It is an arithmetic number, because the mean of its divisors is an integer number (756675382176).

Almost surely, 222142344031200 is an apocalyptic number.

22142344031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142344031200 is an abundant number, since it is smaller than the sum of its proper divisors (32338283485472).

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

22142344031200 is a wasteful number, since it uses less digits than its factorization.

22142344031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217936604 (or 217936591 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22142344031200 its reverse (213044324122), we get a palindrome (22355388355322).

The spelling of 22142344031200 in words is "twenty-two trillion, one hundred forty-two billion, three hundred forty-four million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 127 160 200 254 400 508 635 800 1016 1270 2032 2540 3175 4064 5080 6350 10160 12700 20320 25400 50800 101600 217936457 435872914 871745828 1089682285 1743491656 2179364570 3486983312 4358729140 5448411425 6973966624 8717458280 10896822850 17434916560 21793645700 27677930039 34869833120 43587291400 55355860078 87174582800 110711720156 138389650195 174349165600 221423440312 276779300390 442846880624 553558600780 691948250975 885693761248 1107117201560 1383896501950 2214234403120 2767793003900 4428468806240 5535586007800 11071172015600 22142344031200