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2230335226112 = 2875973288973
BaseRepresentation
bin100000011101001010010…
…101101100000100000000
321220012212220012200121112
4200131022111230010000
5243020211304213422
64424334000142452
7320064533423360
oct40351225540400
97805786180545
102230335226112
1178a9750aa394
12300306907a28
1313242052b086
1479d3d71c9a0
153d0396e6ee2
hex2074a56c100

2230335226112 has 144 divisors (see below), whose sum is σ = 5245086161280. Its totient is φ = 926781751296.

The previous prime is 2230335226069. The next prime is 2230335226121. The reversal of 2230335226112 is 2116225330322.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 7573658 + ... + 7862630.

Almost surely, 22230335226112 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 2230335226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622543080640).

2230335226112 is an abundant number, since it is smaller than the sum of its proper divisors (3014750935168).

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

2230335226112 is an equidigital number, since it uses as much as digits as its factorization.

2230335226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289128 (or 289114 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 2230335226112 in words is "two trillion, two hundred thirty billion, three hundred thirty-five million, two hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 73 112 118 128 146 224 236 256 292 413 448 472 511 584 826 896 944 1022 1168 1652 1792 1888 2044 2336 3304 3776 4088 4307 4672 6608 7552 8176 8614 9344 13216 15104 16352 17228 18688 26432 30149 32704 34456 52864 60298 65408 68912 105728 120596 130816 137824 241192 275648 288973 482384 551296 577946 964768 1102592 1155892 1929536 2022811 2311784 3859072 4045622 4623568 7718144 8091244 9247136 16182488 17049407 18494272 21095029 32364976 34098814 36988544 42190058 64729952 68197628 73977088 84380116 119345849 129459904 136395256 147665203 168760232 238691698 258919808 272790512 295330406 337520464 477383396 517839616 545581024 590660812 675040928 954766792 1091162048 1181321624 1244606711 1350081856 1909533584 2182324096 2362643248 2489213422 2700163712 3819067168 4364648192 4725286496 4978426844 5400327424 7638134336 8712246977 9450572992 9956853688 15276268672 17424493954 18901145984 19913707376 30552537344 34848987908 37802291968 39827414752 69697975816 79654829504 139395951632 159309659008 278791903264 318619318016 557583806528 1115167613056 2230335226112