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93222040135 = 57219315471181
BaseRepresentation
bin101011011010001110…
…1110111001001000111
322220121210201022021011
41112310131313021013
53011404320241020
6110454155503051
76510062160400
oct1266435671107
9286553638234
1093222040135
1136598458584
1216097a57a87
138a385099c3
144724bc29a7
15265918035a
hex15b4777247

93222040135 has 96 divisors (see below), whose sum is σ = 141776455680. Its totient is φ = 58449081600.

The previous prime is 93222040099. The next prime is 93222040141. The reversal of 93222040135 is 53104022239.

It is not a de Polignac number, because 93222040135 - 27 = 93222040007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 93222040097 and 93222040106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78934245 + ... + 78935425.

It is an arithmetic number, because the mean of its divisors is an integer number (1476838080).

Almost surely, 293222040135 is an apocalyptic number.

93222040135 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

93222040135 is a deficient number, since it is larger than the sum of its proper divisors (48554415545).

93222040135 is a wasteful number, since it uses less digits than its factorization.

93222040135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 93222040135 in words is "ninety-three billion, two hundred twenty-two million, forty thousand, one hundred thirty-five".

Divisors: 1 5 7 19 31 35 49 95 133 155 217 245 547 589 665 931 1085 1181 1519 2735 2945 3829 4123 4655 5905 7595 8267 10393 16957 19145 20615 22439 26803 28861 36611 41335 51965 57869 72751 84785 112195 118699 134015 144305 157073 183055 256277 289345 322183 363755 509257 593495 646007 695609 785365 830893 1099511 1281385 1610915 1793939 2255281 2546285 3230035 3478045 4154465 4522049 4869263 5497555 8969695 11276405 12274133 15786967 20026217 22610245 24346315 31654343 34084841 61370665 78934835 85918931 100131085 140183519 158271715 170424205 380498123 429594655 601432517 700917595 981284633 1902490615 2663486861 3007162585 4906423165 13317434305 18644408027 93222040135