Search a number
-
+
220122112 = 2107241107
BaseRepresentation
bin11010001111011…
…00110000000000
3120100012100202211
431013230300000
5422322401422
633501551504
75312002300
oct1507546000
9510170684
10220122112
11103287001
1261875594
13367b1192
142133d600
15144d1577
hexd1ecc00

220122112 has 132 divisors (see below), whose sum is σ = 529255944. Its totient is φ = 91176960.

The previous prime is 220122101. The next prime is 220122131. The reversal of 220122112 is 211221022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220122092 and 220122101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2057163 + ... + 2057269.

Almost surely, 2220122112 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 220122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264627972).

220122112 is an abundant number, since it is smaller than the sum of its proper divisors (309133832).

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

220122112 is a wasteful number, since it uses less digits than its factorization.

220122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 220122112 is about 14836.5127978242. The cubic root of 220122112 is about 603.7927449957.

Adding to 220122112 its reverse (211221022), we get a palindrome (431343134).

The spelling of 220122112 in words is "two hundred twenty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 64 82 98 107 112 128 164 196 214 224 256 287 328 392 428 448 512 574 656 749 784 856 896 1024 1148 1312 1498 1568 1712 1792 2009 2296 2624 2996 3136 3424 3584 4018 4387 4592 5243 5248 5992 6272 6848 7168 8036 8774 9184 10486 10496 11984 12544 13696 16072 17548 18368 20972 20992 23968 25088 27392 30709 32144 35096 36736 41944 41984 47936 50176 54784 61418 64288 70192 73472 83888 95872 109568 122836 128576 140384 146944 167776 191744 214963 245672 257152 280768 293888 335552 383488 429926 491344 514304 561536 671104 766976 859852 982688 1028608 1123072 1342208 1719704 1965376 2057216 2246144 2684416 3439408 3930752 4492288 5368832 6878816 7861504 13757632 15723008 27515264 31446016 55030528 110061056 220122112