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220112424 = 23337145577
BaseRepresentation
bin11010001111010…
…10011000101000
3120100011212111000
431013222120220
5422322044144
633501435000
75311632120
oct1507523050
9510155430
10220112424
1110327a7a4
126186ba60
13367a994c
1421339c80
15144cd769
hexd1ea628

220112424 has 64 divisors (see below), whose sum is σ = 698774400. Its totient is φ = 62888832.

The previous prime is 220112423. The next prime is 220112443. The reversal of 220112424 is 424211022.

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

It is a junction number, because it is equal to n+sod(n) for n = 220112397 and 220112406.

It is not an unprimeable number, because it can be changed into a prime (220112423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71277 + ... + 74300.

It is an arithmetic number, because the mean of its divisors is an integer number (10918350).

Almost surely, 2220112424 is an apocalyptic number.

220112424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220112424 is an abundant number, since it is smaller than the sum of its proper divisors (478661976).

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

220112424 is a wasteful number, since it uses less digits than its factorization.

220112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145599 (or 145589 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 220112424 is about 14836.1863024161. The cubic root of 220112424 is about 603.7838868368.

Adding to 220112424 its reverse (424211022), we get a palindrome (644323446).

The spelling of 220112424 in words is "two hundred twenty million, one hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 145577 291154 436731 582308 873462 1019039 1164616 1310193 1746924 2038078 2620386 3057117 3493848 3930579 4076156 5240772 6114234 7861158 8152312 9171351 10481544 12228468 15722316 18342702 24456936 27514053 31444632 36685404 55028106 73370808 110056212 220112424