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2230032011112 = 2332192397216113
BaseRepresentation
bin100000011100111000010…
…001000000111101101000
321220012002202122202211100
4200130320101000331220
5243014101143323422
64424243525201400
7320054162223543
oct40347021007550
97805082582740
102230032011112
1178a829a2a484
12300241260260
131323a2775b09
1479d1134d85a
153d01cca07ac
hex20738440f68

2230032011112 has 144 divisors (see below), whose sum is σ = 6390363472740. Its totient is φ = 702443529216.

The previous prime is 2230032011107. The next prime is 2230032011171. The reversal of 2230032011112 is 2111102300322.

2230032011112 is a `hidden beast` number, since 2 + 230 + 0 + 320 + 1 + 1 + 112 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2183165822916 + 46866188196 = 1477554^2 + 216486^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10210768 + ... + 10426880.

Almost surely, 22230032011112 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 2230032011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195181736370).

2230032011112 is an abundant number, since it is smaller than the sum of its proper divisors (4160331461628).

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

2230032011112 is a wasteful number, since it uses less digits than its factorization.

2230032011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216560 (or 216534 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2230032011112 its reverse (2111102300322), we get a palindrome (4341134311434).

The spelling of 2230032011112 in words is "two trillion, two hundred thirty billion, thirty-two million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 397 456 684 722 794 1083 1191 1368 1444 1588 2166 2382 2888 3176 3249 3573 4332 4764 6498 7146 7543 8664 9528 12996 14292 15086 22629 25992 28584 30172 45258 60344 67887 90516 135774 143317 181032 216113 271548 286634 429951 432226 543096 573268 648339 859902 864452 1146536 1289853 1296678 1719804 1728904 1945017 2579706 2593356 3439608 3890034 4106147 5159412 5186712 7780068 8212294 10318824 12318441 15560136 16424588 24636882 32849176 36955323 49273764 73910646 78016793 85796861 98547528 147821292 156033586 171593722 234050379 257390583 295642584 312067172 343187444 468100758 514781166 624134344 686374888 702151137 772171749 936201516 1029562332 1404302274 1544343498 1630140359 1872403032 2059124664 2808604548 3088686996 3260280718 4890421077 5617209096 6177373992 6520561436 9780842154 13041122872 14671263231 19561684308 29342526462 30972666821 39123368616 58685052924 61945333642 92918000463 117370105848 123890667284 185836000926 247781334568 278754001389 371672001852 557508002778 743344003704 1115016005556 2230032011112