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22142420212200 = 23352172170825511
BaseRepresentation
bin1010000100011011011110…
…00101110101100111101000
32220101210110100001202100220
411002031233011311213220
510400240134033242300
6115032030514330040
74443510546244341
oct502155705654750
986353410052326
1022142420212200
117067602a5a232
122597423889920
13c48037951902
145679ad93b0c8
15285e9629eda0
hex14236f1759e8

22142420212200 has 96 divisors (see below), whose sum is σ = 72679238141760. Its totient is φ = 5557313305600.

The previous prime is 22142420212169. The next prime is 22142420212243. The reversal of 22142420212200 is 221202424122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1085402556 + ... + 1085422955.

It is an arithmetic number, because the mean of its divisors is an integer number (757075397310).

Almost surely, 222142420212200 is an apocalyptic number.

22142420212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142420212200 is an abundant number, since it is smaller than the sum of its proper divisors (50536817929560).

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

22142420212200 is a wasteful number, since it uses less digits than its factorization.

22142420212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170825547 (or 2170825538 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22142420212200 its reverse (221202424122), we get a palindrome (22363622636322).

The spelling of 22142420212200 in words is "twenty-two trillion, one hundred forty-two billion, four hundred twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 2170825511 4341651022 6512476533 8683302044 10854127555 13024953066 17366604088 21708255110 26049906132 32562382665 36904033687 43416510220 52099812264 54270637775 65124765330 73808067374 86833020440 108541275550 110712101061 130249530660 147616134748 162811913325 184520168435 217082551100 221424202122 260499061320 295232269496 325623826650 369040336870 434165102200 442848404244 553560505305 651247653300 738080673740 885696808488 922600842175 1107121010610 1302495306600 1476161347480 1845201684350 2214242021220 2767802526525 3690403368700 4428484042440 5535605053050 7380806737400 11071210106100 22142420212200