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22141122333420 = 22351634166954331
BaseRepresentation
bin1010000100011001000011…
…01110110100101011101100
32220101200002212212200101110
411002030201232310223230
510400230004304132140
6115031254032312020
74443433436410236
oct502144156645354
986350085780343
1022141122333420
117066aa7380742
1225971210a2610
13c47b8baaa2bc
145678c940d256
15285e1c37d380
hex142321bb4aec

22141122333420 has 96 divisors (see below), whose sum is σ = 62378125850880. Its totient is φ = 5867827764480.

The previous prime is 22141122333373. The next prime is 22141122333439. The reversal of 22141122333420 is 2433322114122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407495655 + ... + 407549985.

It is an arithmetic number, because the mean of its divisors is an integer number (649772144280).

Almost surely, 222141122333420 is an apocalyptic number.

22141122333420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22141122333420 is an abundant number, since it is smaller than the sum of its proper divisors (40237003517460).

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

22141122333420 is a wasteful number, since it uses less digits than its factorization.

22141122333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96175 (or 96173 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 22141122333420 its reverse (2433322114122), we get a palindrome (24574444447542).

The spelling of 22141122333420 in words is "twenty-two trillion, one hundred forty-one billion, one hundred twenty-two million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 9780 41669 54331 83338 108662 125007 162993 166676 208345 217324 250014 271655 325986 416690 500028 543310 625035 651972 814965 833380 1086620 1250070 1629930 2500140 3259860 6792047 8855953 13584094 17711906 20376141 26567859 27168188 33960235 35423812 40752282 44279765 53135718 67920470 81504564 88559530 101880705 106271436 132839295 135840940 177119060 203761410 265678590 407522820 531357180 2263918439 4527836878 6791755317 9055673756 11319592195 13583510634 22639184390 27167021268 33958776585 45278368780 67917553170 135835106340 369018705557 738037411114 1107056116671 1476074822228 1845093527785 2214112233342 3690187055570 4428224466684 5535280583355 7380374111140 11070561166710 22141122333420