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221225144355 = 3354783420073
BaseRepresentation
bin1100111000001000001…
…0111101000000100011
3210011000120010201212000
43032002002331000203
512111032114104410
6245343542335043
721661110462225
oct3160202750043
9704016121760
10221225144355
1185903910316
1236a5ba2a483
1317b277830a7
14a9c8da0415
155b4ba45dc0
hex33820bd023

221225144355 has 64 divisors (see below), whose sum is σ = 406497208320. Its totient is φ = 114084834048.

The previous prime is 221225144347. The next prime is 221225144381. The reversal of 221225144355 is 553441522122.

221225144355 is a `hidden beast` number, since 2 + 2 + 12 + 251 + 44 + 355 = 666.

It is not a de Polignac number, because 221225144355 - 23 = 221225144347 is a prime.

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, 316599 + ... + 736671.

It is an arithmetic number, because the mean of its divisors is an integer number (6351518880).

Almost surely, 2221225144355 is an apocalyptic number.

221225144355 is a deficient number, since it is larger than the sum of its proper divisors (185272063965).

221225144355 is a wasteful number, since it uses less digits than its factorization.

221225144355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420217 (or 420211 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

Adding to 221225144355 its reverse (553441522122), we get a palindrome (774666666477).

The spelling of 221225144355 in words is "two hundred twenty-one billion, two hundred twenty-five million, one hundred forty-four thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 47 83 135 141 235 249 415 423 705 747 1245 1269 2115 2241 3735 3901 6345 11205 11703 19505 35109 58515 105327 175545 420073 526635 1260219 2100365 3780657 6301095 11341971 18903285 19743431 34866059 56709855 59230293 98717155 104598177 174330295 177690879 296151465 313794531 522990885 533072637 888454395 941383593 1568972655 1638704773 2665363185 4706917965 4916114319 8193523865 14748342957 24580571595 44245028871 73741714785 221225144355