Search a number
-
+
22210125314020 = 22571131567895933
BaseRepresentation
bin1010000110011001100101…
…01000010011011111100100
32220122021012211011021202121
411003030302220103133210
510402342314040022040
6115123105105515324
74451425416151630
oct503146250233744
986567184137677
1022210125314020
1170932967a5336
1225a857a042b44
13c515377bc337
1456ad93851dc0
15287b0a19ac4a
hex143332a137e4

22210125314020 has 96 divisors (see below), whose sum is σ = 53810398107648. Its totient is φ = 7542686656512.

The previous prime is 22210125314009. The next prime is 22210125314087. The reversal of 22210125314020 is 2041352101222.

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, 24341974 + ... + 25237906.

It is an arithmetic number, because the mean of its divisors is an integer number (560524980288).

Almost surely, 222210125314020 is an apocalyptic number.

22210125314020 is a gapful number since it is divisible by the number (20) 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 22210125314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26905199053824).

22210125314020 is an abundant number, since it is smaller than the sum of its proper divisors (31600272793628).

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

22210125314020 is a wasteful number, since it uses less digits than its factorization.

22210125314020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897629 (or 897627 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 22210125314020 its reverse (2041352101222), we get a palindrome (24251477415242).

The spelling of 22210125314020 in words is "twenty-two trillion, two hundred ten billion, one hundred twenty-five million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 791 1130 1567 1582 2260 3134 3164 3955 6268 7835 7910 10969 15670 15820 21938 31340 43876 54845 109690 177071 219380 354142 708284 885355 895933 1239497 1770710 1791866 2478994 3541420 3583732 4479665 4957988 6197485 6271531 8959330 12394970 12543062 17918660 24789940 25086124 31357655 62715310 101240429 125430620 202480858 404961716 506202145 708683003 1012404290 1403927011 1417366006 2024808580 2807854022 2834732012 3543415015 5615708044 7019635055 7086830030 9827489077 14039270110 14173660060 19654978154 28078540220 39309956308 49137445385 98274890770 158643752243 196549781540 317287504486 634575008972 793218761215 1110506265701 1586437522430 2221012531402 3172875044860 4442025062804 5552531328505 11105062657010 22210125314020