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222001133120 = 26513227235091
BaseRepresentation
bin1100111011000001001…
…1000111011001000000
3210020000122022001022122
43032300103013121000
512114124242224440
6245552542423412
722016252332154
oct3166023073100
9706018261278
10222001133120
1186171941148
1237037891b68
1317c1c479b40
14aa60079064
155b94c287b5
hex33b04c7640

222001133120 has 112 divisors (see below), whose sum is σ = 571815211968. Its totient is φ = 81608202240.

The previous prime is 222001133093. The next prime is 222001133131. The reversal of 222001133120 is 21331100222.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826775 + ... + 1061865.

It is an arithmetic number, because the mean of its divisors is an integer number (5105492964).

Almost surely, 2222001133120 is an apocalyptic number.

222001133120 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 222001133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285907605984).

222001133120 is an abundant number, since it is smaller than the sum of its proper divisors (349814078848).

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

222001133120 is a wasteful number, since it uses less digits than its factorization.

222001133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235348 (or 235338 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 222001133120 its reverse (21331100222), we get a palindrome (243332233342).

The spelling of 222001133120 in words is "two hundred twenty-two billion, one million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 227 260 320 416 454 520 832 908 1040 1135 1816 2080 2270 2951 3632 4160 4540 5902 7264 9080 11804 14528 14755 18160 23608 29510 36320 47216 59020 72640 94432 118040 188864 235091 236080 470182 472160 940364 944320 1175455 1880728 2350910 3056183 3761456 4701820 6112366 7522912 9403640 12224732 15045824 15280915 18807280 24449464 30561830 37614560 48898928 53365657 61123660 75229120 97797856 106731314 122247320 195595712 213462628 244494640 266828285 426925256 488989280 533656570 693753541 853850512 977978560 1067313140 1387507082 1707701024 2134626280 2775014164 3415402048 3468767705 4269252560 5550028328 6937535410 8538505120 11100056656 13875070820 17077010240 22200113312 27750141640 44400226624 55500283280 111000566560 222001133120