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220795891298192 = 247178313679102139
BaseRepresentation
bin110010001101000000001100…
…101010110010111110010000
31001221202212210021222121220202
4302031000030222302332100
5212420004441133020232
62101332122052154332
764335656005631120
oct6215001452627620
91057685707877822
10220795891298192
1164397014556651
122091b8813089a8
139627c6a22b382
143c74814678c80
151a7d61b66e162
hexc8d00cab2f90

220795891298192 has 160 divisors (see below), whose sum is σ = 523944665395200. Its totient is φ = 87980215486464.

The previous prime is 220795891298189. The next prime is 220795891298221. The reversal of 220795891298192 is 291892198597022.

It is a super-2 number, since 2×2207958912981922 (a number of 29 digits) contains 22 as substring.

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, 2161668659 + ... + 2161770797.

It is an arithmetic number, because the mean of its divisors is an integer number (3274654158720).

Almost surely, 2220795891298192 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 220795891298192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261972332697600).

220795891298192 is an abundant number, since it is smaller than the sum of its proper divisors (303148774097008).

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

220795891298192 is a wasteful number, since it uses less digits than its factorization.

220795891298192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115933 (or 115927 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 74.

The spelling of 220795891298192 in words is "two hundred twenty trillion, seven hundred ninety-five billion, eight hundred ninety-one million, two hundred ninety-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 83 112 119 136 166 238 272 332 476 581 664 952 1162 1328 1411 1904 2324 2822 4648 5644 9296 9877 11288 13679 19754 22576 27358 39508 54716 79016 95753 102139 109432 158032 191506 204278 218864 232543 383012 408556 465086 714973 766024 817112 930172 1135357 1429946 1532048 1627801 1634224 1736363 1860344 2270714 2859892 3255602 3472726 3720688 4541428 5719784 6511204 6945452 7947499 8477537 9082856 11439568 12154541 13022408 13890904 15894998 16955074 18165712 19301069 24309082 26044816 27781808 31789996 33910148 38602138 48618164 59342759 63579992 67820296 77204276 97236328 118685518 127159984 135107483 135640592 144118129 154408552 194472656 237371036 270214966 288236258 308817104 474742072 540429932 576472516 949484144 1008826903 1080859864 1152945032 1397159381 2017653806 2161719728 2305890064 2794318762 4035307612 5588637524 8070615224 9780115667 11177275048 16141230448 19560231334 22354550096 23751709477 39120462668 47503418954 78240925336 95006837908 115964228623 156481850672 166261966339 190013675816 231928457246 332523932678 380027351632 463856914492 665047865356 811749600361 927713828984 1330095730712 1623499200722 1855427657968 1971391886591 2660191461424 3246998401444 3942783773182 6493996802888 7885567546364 12987993605776 13799743206137 15771135092728 27599486412274 31542270185456 55198972824548 110397945649096 220795891298192