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2272425240735 = 3351379157110433
BaseRepresentation
bin100001000100010111000…
…110010110100010011111
322001020112012222222012000
4201010113012112202133
5244212411330200420
64455534315213343
7323114546562306
oct41042706264237
98036465888160
102272425240735
117a6803896341
123084b2747253
1313639a5b3480
147bdb36d743d
153e19e922690
hex2111719689f

2272425240735 has 128 divisors (see below), whose sum is σ = 4408924262400. Its totient is φ = 1103762350080.

The previous prime is 2272425240733. The next prime is 2272425240791. The reversal of 2272425240735 is 5370425242722.

2272425240735 is a `hidden beast` number, since 22 + 72 + 4 + 2 + 524 + 0 + 7 + 35 = 666.

It is not a de Polignac number, because 2272425240735 - 21 = 2272425240733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272425240733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217806079 + ... + 217816511.

It is an arithmetic number, because the mean of its divisors is an integer number (34444720800).

Almost surely, 22272425240735 is an apocalyptic number.

2272425240735 is a deficient number, since it is larger than the sum of its proper divisors (2136499021665).

2272425240735 is a wasteful number, since it uses less digits than its factorization.

2272425240735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110 (or 12104 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 45.

The spelling of 2272425240735 in words is "two trillion, two hundred seventy-two billion, four hundred twenty-five million, two hundred forty thousand, seven hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 79 117 135 195 237 351 395 585 711 1027 1185 1571 1755 2133 3081 3555 4713 5135 7855 9243 10433 10665 14139 15405 20423 23565 27729 31299 42417 46215 52165 61269 70695 93897 102115 124109 135629 138645 156495 183807 212085 281691 306345 372327 406887 469485 551421 620545 678145 824207 919035 1116981 1220661 1408455 1613417 1861635 2034435 2472621 2757105 3350943 3661983 4121035 4840251 5584905 6103305 7417863 8067085 10714691 12363105 14520753 16390243 16754715 18309915 22253589 24201255 32144073 37089315 43562259 49170729 53573455 72603765 81951215 96432219 111267945 147512187 160720365 213073159 217811295 245853645 289296657 442536561 482161095 639219477 737560935 1065365795 1294829197 1446483285 1917658431 2212682805 3196097385 3884487591 5752975293 6474145985 9588292155 11653462773 16832779561 19422437955 28764876465 34960388319 50498338683 58267313865 84163897805 151495016049 174801941595 252491693415 454485048147 757475080245 2272425240735