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22214100223104 = 273313761242867
BaseRepresentation
bin1010000110100000111111…
…00011011000010010000000
32220122122110211122120221120
411003100133203120102000
510402423434124114404
6115125003341552240
74451626053264066
oct503203743302200
986578424576846
1022214100223104
117094a46501369
1225a92a9275680
13c51a1c16734a
1456b24d714036
15287c8e1169d9
hex14341f8d8480

22214100223104 has 128 divisors (see below), whose sum is σ = 59272751436480. Its totient is φ = 7371313397760.

The previous prime is 22214100223097. The next prime is 22214100223111. The reversal of 22214100223104 is 40132200141222.

It is an interprime number because it is at equal distance from previous prime (22214100223097) and next prime (22214100223111).

It is a tau number, because it is divible by the number of its divisors (128).

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91344679 + ... + 91587545.

Almost surely, 222214100223104 is an apocalyptic number.

22214100223104 is a gapful number since it is divisible by the number (24) 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 22214100223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29636375718240).

22214100223104 is an abundant number, since it is smaller than the sum of its proper divisors (37058651213376).

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

22214100223104 is a wasteful number, since it uses less digits than its factorization.

22214100223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243958 (or 243946 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22214100223104 its reverse (40132200141222), we get a palindrome (62346300364326).

The spelling of 22214100223104 in words is "twenty-two trillion, two hundred fourteen billion, one hundred million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 313 384 626 761 939 1252 1522 1878 2283 2504 3044 3756 4566 5008 6088 7512 9132 10016 12176 15024 18264 20032 24352 30048 36528 40064 48704 60096 73056 97408 120192 146112 238193 242867 292224 476386 485734 714579 728601 952772 971468 1429158 1457202 1905544 1942936 2858316 2914404 3811088 3885872 5716632 5828808 7622176 7771744 11433264 11657616 15244352 15543488 22866528 23315232 30488704 31086976 45733056 46630464 76017371 91466112 93260928 152034742 184821787 228052113 304069484 369643574 456104226 554465361 608138968 739287148 912208452 1108930722 1216277936 1478574296 1824416904 2217861444 2432555872 2957148592 3648833808 4435722888 4865111744 5914297184 7297667616 8871445776 9730223488 11828594368 14595335232 17742891552 23657188736 29190670464 35485783104 57849219331 70971566208 115698438662 173547657993 231396877324 347095315986 462793754648 694190631972 925587509296 1388381263944 1851175018592 2776762527888 3702350037184 5553525055776 7404700074368 11107050111552 22214100223104