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8022412125 = 34537138707
BaseRepresentation
bin1110111100010110…
…00100101101011101
3202201002120202120000
413132023010231131
5112412214142000
63404020044513
7402542243430
oct73613045535
922632522500
108022412125
113447495a72
12167a833739
139ab08c430
1456165d817
1531e476000
hex1de2c4b5d

8022412125 has 160 divisors (see below), whose sum is σ = 18409687296. Its totient is φ = 3384892800.

The previous prime is 8022412117. The next prime is 8022412127. The reversal of 8022412125 is 5212142208.

It is not a de Polignac number, because 8022412125 - 23 = 8022412117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8022412127) 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 159 ways as a sum of consecutive naturals, for example, 917022 + ... + 925728.

Almost surely, 28022412125 is an apocalyptic number.

It is an amenable number.

8022412125 is an abundant number, since it is smaller than the sum of its proper divisors (10387275171).

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

8022412125 is a wasteful number, since it uses less digits than its factorization.

8022412125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754 (or 8735 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8022412125 is about 89567.9190614586. The cubic root of 8022412125 is about 2001.8659356840.

The spelling of 8022412125 in words is "eight billion, twenty-two million, four hundred twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 63 65 75 81 91 105 117 125 135 175 189 195 225 273 315 325 351 375 405 455 525 567 585 675 819 875 945 975 1053 1125 1365 1575 1625 1755 2025 2275 2457 2625 2835 2925 3375 4095 4725 4875 5265 6825 7371 7875 8707 8775 10125 11375 12285 14175 14625 20475 23625 26121 26325 34125 36855 43535 43875 60949 61425 70875 78363 102375 113191 130605 131625 182847 184275 217675 235089 304745 307125 339573 391815 548541 565955 653025 705267 792337 914235 921375 1018719 1088375 1175445 1523725 1645623 1697865 1959075 2377011 2742705 2829775 3056157 3265125 3526335 3961685 4571175 4936869 5093595 5877225 7131033 7618625 8228115 8489325 9168471 9795375 11885055 13713525 14148875 15280785 17631675 19808425 21393099 22855875 24684345 25467975 29386125 35655165 41140575 42446625 45842355 59425275 64179297 68567625 76403925 88158375 99042125 106965495 123421725 127339875 178275825 205702875 229211775 297126375 320896485 382019625 534827475 617108625 891379125 1146058875 1604482425 2674137375 8022412125