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4220444124 = 22321329210723
BaseRepresentation
bin1111101110001110…
…1101110111011100
3101220010111202221100
43323203231313130
532120413202444
61534442433100
7206405116551
oct37343556734
911803452840
104220444124
111876370156
12999502790
135234b6320
142c0738a28
1519a7bbe69
hexfb8edddc

4220444124 has 108 divisors (see below), whose sum is σ = 11899929496. Its totient is φ = 1253702016.

The previous prime is 4220444117. The next prime is 4220444177. The reversal of 4220444124 is 4214440224.

4220444124 is a `hidden beast` number, since 42 + 204 + 4 + 412 + 4 = 666.

It is a super-2 number, since 2×42204441242 = 35624297207612254752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388227 + ... + 398949.

Almost surely, 24220444124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4220444124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949964748).

4220444124 is an abundant number, since it is smaller than the sum of its proper divisors (7679485372).

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

4220444124 is a wasteful number, since it uses less digits than its factorization.

4220444124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10804 (or 10770 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4220444124 is about 64964.9453474718. The cubic root of 4220444124 is about 1616.0422777350.

Adding to 4220444124 its reverse (4214440224), we get a palindrome (8434884348).

The spelling of 4220444124 in words is "four billion, two hundred twenty million, four hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 841 1044 1131 1508 1682 2262 2523 3364 3393 4524 5046 6786 7569 10092 10723 10933 13572 15138 21446 21866 30276 32169 32799 42892 43732 64338 65598 96507 98397 128676 131196 139399 193014 196794 278798 310967 386028 393588 418197 557596 621934 836394 932901 1243868 1254591 1672788 1865802 2509182 2798703 3731604 4042571 5018364 5597406 8085142 9018043 11194812 12127713 16170284 18036086 24255426 27054129 36072172 36383139 48510852 54108258 72766278 81162387 108216516 117234559 145532556 162324774 234469118 324649548 351703677 468938236 703407354 1055111031 1406814708 2110222062 4220444124