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221745588106434 = 23722390912604289
BaseRepresentation
bin110010011010110100101011…
…000000100111010011000010
31002002010200010022002010212120
4302122310223000213103002
5213031034431023401214
62103340303350505110
764464406250412330
oct6232645300472302
91062120108063776
10221745588106434
1164722859654a97
1220a53944965196
1396966999ac692
143ca8787dcab50
151a981a1b00ea9
hexc9ad2b0274c2

221745588106434 has 64 divisors (see below), whose sum is σ = 509176113438720. Its totient is φ = 63064813178880.

The previous prime is 221745588106411. The next prime is 221745588106463. The reversal of 221745588106434 is 434601885547122.

It is a super-2 number, since 2×2217455881064342 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83844162 + ... + 86448450.

It is an arithmetic number, because the mean of its divisors is an integer number (7955876772480).

Almost surely, 2221745588106434 is an apocalyptic number.

221745588106434 is an abundant number, since it is smaller than the sum of its proper divisors (287430525332286).

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

221745588106434 is a wasteful number, since it uses less digits than its factorization.

221745588106434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613615.

The product of its (nonzero) digits is 51609600, while the sum is 60.

The spelling of 221745588106434 in words is "two hundred twenty-one trillion, seven hundred forty-five billion, five hundred eighty-eight million, one hundred six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 223 446 669 1338 1561 3122 4683 9091 9366 18182 27273 54546 63637 127274 190911 381822 2027293 2604289 4054586 5208578 6081879 7812867 12163758 14191051 15625734 18230023 28382102 36460046 42573153 54690069 85146306 109380138 580756447 1161512894 1742269341 3484538682 4065295129 8130590258 12195885387 23675591299 24391770774 47351182598 71026773897 142053547794 165729139093 331458278186 497187417279 994374834558 5279656859677 10559313719354 15838970579031 31677941158062 36957598017739 73915196035478 110872794053217 221745588106434