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252220004022 = 237293118013709
BaseRepresentation
bin1110101011100101111…
…0111101011010110110
3220010000122102202010110
43222321132331122312
513113021310112042
6311511314003450
724136150442460
oct3527136753266
9803018382113
10252220004022
1197a69687118
1240a6bb76586
131aa26ca573c
14c2c95b9130
156862b8809c
hex3ab97bd6b6

252220004022 has 128 divisors (see below), whose sum is σ = 616128307200. Its totient is φ = 67277952000.

The previous prime is 252220003979. The next prime is 252220004081. The reversal of 252220004022 is 220400022252.

It is a super-2 number, since 2×2522200040222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 252220004022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68000304 + ... + 68004012.

It is an arithmetic number, because the mean of its divisors is an integer number (4813502400).

Almost surely, 2252220004022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252220004022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308064153600).

252220004022 is an abundant number, since it is smaller than the sum of its proper divisors (363908303178).

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

252220004022 is a wasteful number, since it uses less digits than its factorization.

252220004022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582.

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 252220004022 its reverse (220400022252), we get a palindrome (472620026274).

The spelling of 252220004022 in words is "two hundred fifty-two billion, two hundred twenty million, four thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 29 31 42 58 62 87 93 174 186 203 217 406 434 609 651 899 1218 1302 1798 1801 2697 3602 3709 5394 5403 6293 7418 10806 11127 12586 12607 18879 22254 25214 25963 37758 37821 51926 52229 55831 75642 77889 104458 107561 111662 114979 155778 156687 167493 215122 229958 313374 322683 334986 344937 365603 390817 645366 689874 731206 752927 781634 804853 1096809 1172451 1505854 1609706 1619099 2193618 2258781 2344902 2414559 3238198 3334391 4517562 4829118 4857297 6668782 6679909 9714594 10003173 11333693 13359818 20006346 20039727 22667386 23340737 34001079 40079454 46681474 46759363 68002158 70022211 93518726 140044422 140278089 193717361 207077179 280556178 387434722 414154358 581152083 621231537 1162304166 1242463074 1356021527 1449540253 2712043054 2899080506 4068064581 4348620759 6005238191 8136129162 8697241518 12010476382 18015714573 36031429146 42036667337 84073334674 126110002011 252220004022