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220124424 = 233131971523
BaseRepresentation
bin11010001111011…
…01010100001000
3120100012110221110
431013231110020
5422322440144
633502010320
75312012112
oct1507552410
9510173843
10220124424
11103288813
12618769a0
13367b2250
14213403b2
15144d20b9
hexd1ed508

220124424 has 128 divisors (see below), whose sum is σ = 633830400. Its totient is φ = 63141120.

The previous prime is 220124407. The next prime is 220124473. The reversal of 220124424 is 424421022.

It is a self number, because there is not a number n which added to its sum of digits gives 220124424.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 420627 + ... + 421149.

It is an arithmetic number, because the mean of its divisors is an integer number (4951800).

Almost surely, 2220124424 is an apocalyptic number.

220124424 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 220124424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316915200).

220124424 is an abundant number, since it is smaller than the sum of its proper divisors (413705976).

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

220124424 is a wasteful number, since it uses less digits than its factorization.

220124424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 220124424 is about 14836.5907135029. The cubic root of 220124424 is about 603.7948589193.

Adding to 220124424 its reverse (424421022), we get a palindrome (644545446).

The spelling of 220124424 in words is "two hundred twenty million, one hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 71 76 78 104 114 142 152 156 213 228 247 284 312 426 456 494 523 568 741 852 923 988 1046 1349 1482 1569 1704 1846 1976 2092 2698 2769 2964 3138 3692 4047 4184 5396 5538 5928 6276 6799 7384 8094 9937 10792 11076 12552 13598 16188 17537 19874 20397 22152 27196 29811 32376 35074 37133 39748 40794 52611 54392 59622 70148 74266 79496 81588 105222 111399 119244 129181 140296 148532 163176 210444 222798 238488 258362 297064 387543 420888 445596 482729 516724 705527 775086 891192 965458 1033448 1411054 1448187 1550172 1930916 2116581 2822108 2896374 3100344 3861832 4233162 5644216 5792748 8466324 9171851 11585496 16932648 18343702 27515553 36687404 55031106 73374808 110062212 220124424