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4022506818 = 2361121512
BaseRepresentation
bin1110111111000010…
…1001010101000010
3101101100001112000000
43233300221111002
531214230204233
61503052140430
7201452513061
oct35760512502
911340045000
104022506818
111784666a00
12943167716
134c14a1b65
142a23321d8
1518821dd13
hexefc29542

4022506818 has 126 divisors (see below), whose sum is σ = 10009963971. Its totient is φ = 1210869000.

The previous prime is 4022506801. The next prime is 4022506819. The reversal of 4022506818 is 8186052204.

4022506818 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2011253409 + 2011253409 = 44847^2 + 44847^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=44847.

It is a super-2 number, since 2×40225068182 = 32361122201712970248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4022506819) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 26639043 + ... + 26639193.

Almost surely, 24022506818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022506818

4022506818 is an abundant number, since it is smaller than the sum of its proper divisors (5987457153).

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

4022506818 is an equidigital number, since it uses as much as digits as its factorization.

4022506818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4022506818 is about 63423.2356317462. The cubic root of 4022506818 is about 1590.3727641499.

The spelling of 4022506818 in words is "four billion, twenty-two million, five hundred six thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 151 162 198 242 243 297 302 363 453 486 594 726 729 891 906 1089 1359 1458 1661 1782 2178 2673 2718 3267 3322 4077 4983 5346 6534 8019 8154 9801 9966 12231 14949 16038 18271 19602 22801 24462 29403 29898 36542 36693 44847 45602 54813 58806 68403 73386 88209 89694 109626 110079 134541 136806 164439 176418 205209 220158 250811 269082 328878 403623 410418 493317 501622 615627 752433 807246 986634 1210869 1231254 1479951 1504866 1846881 2257299 2421738 2758921 2959902 3693762 4439853 4514598 5517842 5540643 6771897 8276763 8879706 11081286 13319559 13543794 16553526 16621929 20315691 24830289 26639118 33243858 40631382 49660578 60947073 74490867 121894146 148981734 182841219 223472601 365682438 446945202 670417803 1340835606 2011253409 4022506818