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4212003224 = 2311213225747
BaseRepresentation
bin1111101100001110…
…0001000110011000
3101212112121221012102
43323003201012120
532111233100344
61533541502532
7206243302532
oct37303410630
911775557172
104212003224
111871625400
12996711a48
1352181c300
142bd57c852
15199ba0e4e
hexfb0e1198

4212003224 has 72 divisors (see below), whose sum is σ = 9400208580. Its totient is φ = 1767205440.

The previous prime is 4212003199. The next prime is 4212003233. The reversal of 4212003224 is 4223002124.

It is a junction number, because it is equal to n+sod(n) for n = 4212003196 and 4212003205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150719 + ... + 176465.

Almost surely, 24212003224 is an apocalyptic number.

4212003224 is a gapful number since it is divisible by the number (44) 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 4212003224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700104290).

4212003224 is an abundant number, since it is smaller than the sum of its proper divisors (5188205356).

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

4212003224 is a wasteful number, since it uses less digits than its factorization.

4212003224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25801 (or 25773 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4212003224 is about 64899.9477965892. The cubic root of 4212003224 is about 1614.9641956745.

Adding to 4212003224 its reverse (4223002124), we get a palindrome (8435005348).

It can be divided in two parts, 421200 and 3224, that added together give a palindrome (424424).

The spelling of 4212003224 in words is "four billion, two hundred twelve million, three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 169 242 286 338 484 572 676 968 1144 1352 1573 1859 3146 3718 6292 7436 12584 14872 20449 25747 40898 51494 81796 102988 163592 205976 283217 334711 566434 669422 1132868 1338844 2265736 2677688 3115387 3681821 4351243 6230774 7363642 8702486 12461548 14727284 17404972 24923096 29454568 34809944 40500031 47863673 81000062 95727346 162000124 191454692 324000248 382909384 526500403 1053000806 2106001612 4212003224