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22204341131004 = 2235421307917623
BaseRepresentation
bin1010000110001110110011…
…10111011001011011111100
32220121201021201012100100000
411003013121313121123330
510402243442312143004
6115120311122434300
74451132162335404
oct503073167313374
986551251170300
1022204341131004
11709089877aa9a
1225a7424b02990
13c50b25358036
1456a9a5581804
152878bc493c39
hex1431d9dd96fc

22204341131004 has 144 divisors (see below), whose sum is σ = 58366960171520. Its totient is φ = 7381049417280.

The previous prime is 22204341131003. The next prime is 22204341131017. The reversal of 22204341131004 is 40013114340222.

22204341131004 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 4 + 341 + 1 + 310 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22204341131003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1259954937 + ... + 1259972559.

Almost surely, 222204341131004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22204341131004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29183480085760).

22204341131004 is an abundant number, since it is smaller than the sum of its proper divisors (36162619040516).

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

22204341131004 is a wasteful number, since it uses less digits than its factorization.

22204341131004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21142 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22204341131004 its reverse (40013114340222), we get a palindrome (62217455471226).

The spelling of 22204341131004 in words is "twenty-two trillion, two hundred four billion, three hundred forty-one million, one hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 421 486 842 972 1263 1684 2526 3079 3789 5052 6158 7578 9237 11367 12316 15156 17623 18474 22734 27711 34101 35246 36948 45468 52869 55422 68202 70492 83133 102303 105738 110844 136404 158607 166266 204606 211476 249399 317214 332532 409212 475821 498798 634428 748197 951642 997596 1296259 1427463 1496394 1903284 2592518 2854926 2992788 3888777 4282389 5185036 5709852 7419283 7777554 8564778 11666331 14838566 15555108 17129556 22257849 23332662 29677132 34998993 44515698 46665324 54261217 66773547 69997986 89031396 104996979 108522434 133547094 139995972 162783651 200320641 209993958 217044868 267094188 314990937 325567302 400641282 419987916 488350953 600961923 629981874 651134604 801282564 976701906 1201923846 1259963748 1465052859 1802885769 1953403812 2403847692 2930105718 3605771538 4395158577 5860211436 7211543076 8790317154 13185475731 17580634308 22843972357 26370951462 45687944714 52741902924 68531917071 91375889428 137063834142 205595751213 274127668284 411191502426 616787253639 822383004852 1233574507278 1850361760917 2467149014556 3700723521834 5551085282751 7401447043668 11102170565502 22204341131004