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220122012 = 2231110915299
BaseRepresentation
bin11010001111011…
…00101110011100
3120100012100122010
431013230232130
5422322401022
633501551220
75312002065
oct1507545634
9510170563
10220122012
11103286a20
1261875510
13367b1116
142133d56c
15144d150c
hexd1ecb9c

220122012 has 48 divisors (see below), whose sum is σ = 565488000. Its totient is φ = 66087360.

The previous prime is 220121999. The next prime is 220122017. The reversal of 220122012 is 210221022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6739 + ... + 22037.

It is an arithmetic number, because the mean of its divisors is an integer number (11781000).

Almost surely, 2220122012 is an apocalyptic number.

220122012 is a gapful number since it is divisible by the number (22) 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 220122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282744000).

220122012 is an abundant number, since it is smaller than the sum of its proper divisors (345365988).

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

220122012 is a wasteful number, since it uses less digits than its factorization.

220122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15426 (or 15424 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220122012 is about 14836.5094277596. The cubic root of 220122012 is about 603.7926535627.

Adding to 220122012 its reverse (210221022), we get a palindrome (430343034).

The spelling of 220122012 in words is "two hundred twenty million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1308 2398 3597 4796 7194 14388 15299 30598 45897 61196 91794 168289 183588 336578 504867 673156 1009734 1667591 2019468 3335182 5002773 6670364 10005546 18343501 20011092 36687002 55030503 73374004 110061006 220122012