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22112328488152 = 23747711131047157
BaseRepresentation
bin1010000011100011011010…
…11111000001010011011000
32220021220210012011210020211
411001301231133001103120
510344242022043110102
6115010132524300504
74441364053642420
oct501615537012330
986256705153224
1022112328488152
117055870a67601
1225916260a1734
13c45250582c36
14566357257480
152852d45a87d7
hex141c6d7c14d8

22112328488152 has 128 divisors (see below), whose sum is σ = 49507619696640. Its totient is φ = 9063512156160.

The previous prime is 22112328488147. The next prime is 22112328488221. The reversal of 22112328488152 is 25188482321122.

It is a junction number, because it is equal to n+sod(n) for n = 22112328488096 and 22112328488105.

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, 20592958 + ... + 21640114.

It is an arithmetic number, because the mean of its divisors is an integer number (386778278880).

Almost surely, 222112328488152 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 22112328488152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24753809848320).

22112328488152 is an abundant number, since it is smaller than the sum of its proper divisors (27395291208488).

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

22112328488152 is a wasteful number, since it uses less digits than its factorization.

22112328488152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047401 (or 1047397 counting only the distinct ones).

The product of its digits is 983040, while the sum is 49.

The spelling of 22112328488152 in words is "twenty-two trillion, one hundred twelve billion, three hundred twenty-eight million, four hundred eighty-eight thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 47 56 71 94 113 142 188 226 284 329 376 452 497 568 658 791 904 994 1316 1582 1988 2632 3164 3337 3976 5311 6328 6674 8023 10622 13348 16046 21244 23359 26696 32092 37177 42488 46718 56161 64184 74354 93436 112322 148708 186872 224644 297416 377081 449288 754162 1047157 1508324 2094314 2639567 3016648 4188628 5279134 7330099 8377256 10558268 14660198 21116536 29320396 49216379 58640792 74348147 98432758 118328741 148696294 196865516 236657482 297392588 344514653 393731032 473314964 520437029 594785176 689029306 828301187 946629928 1040874058 1378058612 1656602374 2081748116 2756117224 3313204748 3494362909 4163496232 5561450827 6626409496 6988725818 8401340611 11122901654 13977451636 16802681222 22245803308 24460540363 27954903272 33605362444 38930155789 44491606616 48921080726 58809384277 67210724888 77860311578 97842161452 117618768554 155720623156 195684322904 235237537108 311441246312 394863008717 470475074216 789726017434 1579452034868 2764041061019 3158904069736 5528082122038 11056164244076 22112328488152