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2245564441110 = 2352329180162311
BaseRepresentation
bin100000101011010110000…
…100100010001000010110
321221200012020122222011110
4200223112010202020112
5243242403444103420
64435333103115450
7321144115546164
oct40532604421026
97850166588143
102245564441110
1179637a648a91
12303256ba2b86
131339a96bccb3
147a98616c234
153d62b6d6ee0
hex20ad6122216

2245564441110 has 128 divisors (see below), whose sum is σ = 5820917852160. Its totient is φ = 552714624000.

The previous prime is 2245564441103. The next prime is 2245564441129. The reversal of 2245564441110 is 111444655422.

It is a super-3 number, since 3×22455644411103 (a number of 38 digits) contains 333 as substring.

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, 36006855 + ... + 36069165.

It is an arithmetic number, because the mean of its divisors is an integer number (45475920720).

Almost surely, 22245564441110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245564441110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910458926080).

2245564441110 is an abundant number, since it is smaller than the sum of its proper divisors (3575353411050).

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

2245564441110 is a wasteful number, since it uses less digits than its factorization.

2245564441110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64174.

The product of its (nonzero) digits is 153600, while the sum is 39.

The spelling of 2245564441110 in words is "two trillion, two hundred forty-five billion, five hundred sixty-four million, four hundred forty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1334 1801 2001 3335 3602 4002 5403 6670 9005 10005 10806 18010 20010 27015 41423 52229 54030 62311 82846 104458 124269 124622 156687 186933 207115 248538 261145 311555 313374 373866 414230 522290 621345 623110 783435 934665 1201267 1242690 1433153 1566870 1807019 1869330 2402534 2866306 3603801 3614038 4299459 5421057 6006335 7165765 7207602 8598918 9035095 10842114 12012670 14331530 18019005 18070190 21497295 27105285 36038010 41561437 42994590 54210570 83122874 112222111 124684311 207807185 224444222 249368622 336666333 415614370 561110555 623421555 673332666 1122221110 1246843110 1683331665 2581108553 3254441219 3366663330 5162217106 6508882438 7743325659 9763323657 12905542765 15486651318 16272206095 19526647314 25811085530 32544412190 38716628295 48816618285 74852148037 77433256590 97633236570 149704296074 224556444111 374260740185 449112888222 748521480370 1122782220555 2245564441110