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2220232254345 = 345747127131203
BaseRepresentation
bin100000010011110000001…
…001111010001110001001
321212020210210200112210000
4200103300021322032021
5242334013424114340
64415543254313213
7316256265531240
oct40236011721611
97766723615700
102220232254345
11786660254146
122ba367358809
131314a03c9581
1479661a33957
153cb47798d30
hex204f027a389

2220232254345 has 160 divisors (see below), whose sum is σ = 4681929719808. Its totient is φ = 985539042432.

The previous prime is 2220232254343. The next prime is 2220232254349. The reversal of 2220232254345 is 5434522320222.

2220232254345 is a `hidden beast` number, since 2 + 220 + 23 + 22 + 54 + 345 = 666.

It is not a de Polignac number, because 2220232254345 - 21 = 2220232254343 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2220232254343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16856514 + ... + 16987716.

Almost surely, 22220232254345 is an apocalyptic number.

It is an amenable number.

2220232254345 is an abundant number, since it is smaller than the sum of its proper divisors (2461697465463).

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

2220232254345 is a wasteful number, since it uses less digits than its factorization.

2220232254345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131401 (or 131392 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 2220232254345 its reverse (5434522320222), we get a palindrome (7654754574567).

The spelling of 2220232254345 in words is "two trillion, two hundred twenty billion, two hundred thirty-two million, two hundred fifty-four thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 47 63 81 105 127 135 141 189 235 315 329 381 405 423 567 635 705 889 945 987 1143 1269 1645 1905 2115 2667 2835 2961 3429 3807 4445 4935 5715 5969 6345 8001 8883 10287 13335 14805 17145 17907 19035 24003 26649 29845 40005 41783 44415 51435 53721 72009 89535 120015 125349 131203 133245 161163 208915 268605 360045 376047 393609 483489 626745 656015 805815 918421 1128141 1180827 1880235 1968045 2417445 2755263 3384423 3542481 4592105 5640705 5904135 6166541 8265789 10627443 13776315 16662781 16922115 17712405 18499623 24797367 30832705 41328945 43165787 49988343 53137215 55498869 74392101 83313905 92498115 116639467 123986835 129497361 149965029 166496607 215828935 249941715 277494345 349918401 371960505 388492083 449895087 499489821 583197335 647486805 749825145 783150707 832483035 1049755203 1165476249 1349685261 1749592005 1942460415 2249475435 2349452121 2497449105 3149265609 3496428747 3915753535 5248776015 5482054949 5827381245 6748426305 7048356363 9447796827 11747260605 15746328045 16446164847 17482143735 21145069089 27410274745 35241781815 47238984135 49338494541 63435207267 82230824235 105725345445 148015483623 246692472705 317176036335 444046450869 740077418115 2220232254345