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220001112 = 233237269307
BaseRepresentation
bin11010001110011…
…11001101011000
3120022222012210100
431013033031120
5422310013422
633455215400
75310656442
oct1507171530
9508865710
10220001112
11103204101
1261817560
133676b096
142130b492
15144aa7ac
hexd1cf358

220001112 has 96 divisors (see below), whose sum is σ = 616215600. Its totient is φ = 70854912.

The previous prime is 220001059. The next prime is 220001113. The reversal of 220001112 is 211100022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220001094 and 220001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220001113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716463 + ... + 716769.

Almost surely, 2220001112 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 220001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308107800).

220001112 is an abundant number, since it is smaller than the sum of its proper divisors (396214488).

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

220001112 is a wasteful number, since it uses less digits than its factorization.

220001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 220001112 is about 14832.4344596563. The cubic root of 220001112 is about 603.6820907892.

Adding to 220001112 its reverse (211100022), we get a palindrome (431101134).

The spelling of 220001112 in words is "two hundred twenty million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 269 296 307 333 444 538 614 666 807 888 921 1076 1228 1332 1614 1842 2152 2421 2456 2664 2763 3228 3684 4842 5526 6456 7368 9684 9953 11052 11359 19368 19906 22104 22718 29859 34077 39812 45436 59718 68154 79624 82583 89577 90872 102231 119436 136308 165166 179154 204462 238872 247749 272616 330332 358308 408924 495498 660664 716616 743247 817848 990996 1486494 1981992 2972988 3055571 5945976 6111142 9166713 12222284 18333426 24444568 27500139 36666852 55000278 73333704 110000556 220001112