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112226162545240 = 235191734549187637
BaseRepresentation
bin11001100001000110110000…
…100011011001001001011000
3112201100201100020010022122121
4121201012300203121021120
5104202203140102421430
61034403553133031024
732432033633114002
oct3141066043311130
9481321306108577
10112226162545240
1132838937032697
1210706222925474
134a80b6019a4a3
141d9dabd3d9372
15ce93d7924a7a
hex6611b08d9258

112226162545240 has 128 divisors (see below), whose sum is σ = 267395408280000. Its totient is φ = 42272463403008.

The previous prime is 112226162545177. The next prime is 112226162545249. The reversal of 112226162545240 is 42545261622211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112226162545249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598008702 + ... + 598196338.

Almost surely, 2112226162545240 is an apocalyptic number.

112226162545240 is a gapful number since it is divisible by the number (10) 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 112226162545240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133697704140000).

112226162545240 is an abundant number, since it is smaller than the sum of its proper divisors (155169245734760).

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

112226162545240 is a wasteful number, since it uses less digits than its factorization.

112226162545240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192389 (or 192385 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The spelling of 112226162545240 in words is "one hundred twelve trillion, two hundred twenty-six billion, one hundred sixty-two million, five hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 173 190 346 380 692 760 865 1384 1730 3287 3460 4549 6574 6920 9098 13148 16435 18196 22745 26296 32870 36392 45490 65740 86431 90980 131480 172862 181960 187637 345724 375274 432155 691448 750548 786977 864310 938185 1501096 1573954 1728620 1876370 3147908 3457240 3565103 3752740 3934885 6295816 7130206 7505480 7869770 14260412 14952563 15739540 17825515 28520824 29905126 31479080 32461201 35651030 59810252 64922402 71302060 74762815 119620504 129844804 142604120 149525630 162306005 259689608 299051260 324612010 598102520 616762819 649224020 853560713 1233525638 1298448040 1707121426 2467051276 3083814095 3414242852 4267803565 4934102552 6167628190 6828485704 8535607130 12335256380 16217653547 17071214260 24670512760 32435307094 34142428520 64870614188 81088267735 129741228376 147666003349 162176535470 295332006698 324353070940 590664013396 648706141880 738330016745 1181328026792 1476660033490 2805654063631 2953320066980 5611308127262 5906640133960 11222616254524 14028270318155 22445232509048 28056540636310 56113081272620 112226162545240