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21222414041140 = 22513199744289023
BaseRepresentation
bin1001101001101001110100…
…11100110100000000110100
32210010211202112010212210001
410310310322130310000310
510240202000443304030
6113045235321241044
74320161126645434
oct464647234640064
983124675125701
1021222414041140
116842414505a74
122469067633184
13bac35a43a080
145352555042c4
1526c09c6d8cca
hex134d3a734034

21222414041140 has 96 divisors (see below), whose sum is σ = 51042214379520. Its totient is φ = 7347017281536.

The previous prime is 21222414041131. The next prime is 21222414041189. The reversal of 21222414041140 is 4114041422212.

It is a super-2 number, since 2×212224140411402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21222414041099 and 21222414041108.

It is a congruent number.

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, 21665332 + ... + 22623691.

It is an arithmetic number, because the mean of its divisors is an integer number (531689733120).

Almost surely, 221222414041140 is an apocalyptic number.

21222414041140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222414041140 is an abundant number, since it is smaller than the sum of its proper divisors (29819800338380).

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

21222414041140 is a wasteful number, since it uses less digits than its factorization.

21222414041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44289161 (or 44289159 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 21222414041140 its reverse (4114041422212), we get a palindrome (25336455463352).

The spelling of 21222414041140 in words is "twenty-one trillion, two hundred twenty-two billion, four hundred fourteen million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 97 130 190 194 247 260 380 388 485 494 970 988 1235 1261 1843 1940 2470 2522 3686 4940 5044 6305 7372 9215 12610 18430 23959 25220 36860 47918 95836 119795 239590 479180 44289023 88578046 177156092 221445115 442890230 575757299 841491437 885780460 1151514598 1682982874 2303029196 2878786495 3365965748 4207457185 4296035231 5757572990 8414914370 8592070462 10939388681 11515145980 16829828740 17184140924 21480176155 21878777362 42960352310 43757554724 54696943405 55848458003 81624669389 85920704620 109393886810 111696916006 163249338778 218787773620 223393832012 279242290015 326498677556 408123346945 558484580030 816246693890 1061120702057 1116969160060 1632493387780 2122241404114 4244482808228 5305603510285 10611207020570 21222414041140