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220220424 = 23336715217
BaseRepresentation
bin11010010000001…
…00110000001000
3120100101100122000
431020010300020
5422334023144
633504031000
75312562024
oct1510046010
9510340560
10220220424
11103343956
1261902460
1336816b58
1421367384
1514500769
hexd204c08

220220424 has 64 divisors (see below), whose sum is σ = 620894400. Its totient is φ = 72306432.

The previous prime is 220220419. The next prime is 220220437. The reversal of 220220424 is 424022022.

220220424 is a `hidden beast` number, since 2 + 20 + 220 + 424 = 666.

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 = 220220397 and 220220406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6864 + ... + 22080.

It is an arithmetic number, because the mean of its divisors is an integer number (9701475).

Almost surely, 2220220424 is an apocalyptic number.

220220424 is a gapful number since it is divisible by the number (24) 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 220220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310447200).

220220424 is an abundant number, since it is smaller than the sum of its proper divisors (400673976).

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

220220424 is a wasteful number, since it uses less digits than its factorization.

220220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15299 (or 15289 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 220220424 is about 14839.8256054443. The cubic root of 220220424 is about 603.8826212267.

Adding to 220220424 its reverse (424022022), we get a palindrome (644242446).

The spelling of 220220424 in words is "two hundred twenty million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 14472 15217 30434 45651 60868 91302 121736 136953 182604 273906 365208 410859 547812 821718 1019539 1095624 1643436 2039078 3058617 3286872 4078156 6117234 8156312 9175851 12234468 18351702 24468936 27527553 36703404 55055106 73406808 110110212 220220424