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220545844817796 = 22327144912
BaseRepresentation
bin110010001001010111010100…
…101111001010111110000100
31001220212222101010102022200100
4302021113110233022332010
5212401410342233132141
62101021210140244100
764311624426623031
oct6211272457127604
91056788333368610
10220545844817796
11642aaa70865a53
122089b319240630
13960a4cb6470b4
143c66693a08388
151a76d847230b6
hexc895d4bcaf84

220545844817796 has 135 divisors (see below), whose sum is σ = 566609025797815. Its totient is φ = 72332238291600.

The previous prime is 220545844817717. The next prime is 220545844817813. The reversal of 220545844817796 is 697718448545022.

The square root of 220545844817796 is 14850786.

It is a perfect power (a square), and thus also a powerful number.

220545844817796 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 4 + 5 + 8 + 448 + 177 + 9 + 6 = 666.

220545844817796 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 is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 449176873111 + ... + 449176873601.

Almost surely, 2220545844817796 is an apocalyptic number.

220545844817796 is the 14850786-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220545844817796

220545844817796 is an abundant number, since it is smaller than the sum of its proper divisors (346063180980019).

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

220545844817796 is an frugal number, since it uses more digits than its factorization.

220545844817796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 220545844817796 in words is "two hundred twenty trillion, five hundred forty-five billion, eight hundred forty-four million, eight hundred seventeen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 491 639 852 982 1278 1473 1964 2556 2946 4419 5041 5892 8838 10082 15123 17676 20164 30246 34861 45369 60492 69722 90738 104583 139444 181476 209166 241081 313749 357911 418332 482162 627498 715822 723243 964324 1073733 1254996 1431644 1446486 2147466 2169729 2475131 2892972 3221199 4294932 4339458 4950262 6442398 7425393 8678916 9900524 12884796 14850786 17116751 22276179 25411681 29701572 34233502 44552358 50823362 51350253 68467004 76235043 89104716 101646724 102700506 152470086 154050759 175734301 205401012 228705129 304940172 308101518 351468602 457410258 527202903 616203036 702937204 914820516 1054405806 1215289321 1581608709 2108811612 2430578642 3163217418 3645867963 4861157284 6326434836 7291735926 10937603889 12477135371 14583471852 21875207778 24954270742 37431406113 43750415556 49908541484 74862812226 86285541791 112294218339 149725624452 172571083582 224588436678 258856625373 345142167164 449176873356 517713250746 776569876119 1035426501492 1553139752238 3106279504476 6126273467161 12252546934322 18378820401483 24505093868644 36757640802966 55136461204449 73515281605932 110272922408898 220545844817796