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90922200222909 = 311315316331332869
BaseRepresentation
bin10100101011000101111001…
…011100100100110010111101
3102220221002002110111112100210
4110223011321130210302331
543404132131224113114
6521213025424543033
725102624611160266
oct2453057134446275
9386832073445323
1090922200222909
1126a74985764010
12a2453b8a81a79
133b96c07c303c3
14186492d68996d
15a7a165d87259
hex52b179724cbd

90922200222909 has 128 divisors (see below), whose sum is σ = 140397112442880. Its totient is φ = 51831941990400.

The previous prime is 90922200222877. The next prime is 90922200223007.

90922200222909 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90922200222909 - 25 = 90922200222877 is a prime.

It is a super-3 number, since 3×909222002229093 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90922200222409) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2766182727 + ... + 2766215595.

It is an arithmetic number, because the mean of its divisors is an integer number (1096852440960).

Almost surely, 290922200222909 is an apocalyptic number.

It is an amenable number.

90922200222909 is a deficient number, since it is larger than the sum of its proper divisors (49474912219971).

90922200222909 is a wasteful number, since it uses less digits than its factorization.

90922200222909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33443.

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 90922200222909 in words is "ninety trillion, nine hundred twenty-two billion, two hundred million, two hundred twenty-two thousand, nine hundred nine".

Divisors: 1 3 11 31 33 53 93 159 163 313 341 489 583 939 1023 1643 1749 1793 3443 4929 5053 5379 8639 9703 10329 15159 16589 18073 25917 29109 32869 49767 51019 54219 55583 95029 98607 106733 153057 166749 182479 267809 285087 320199 361559 514259 547437 561209 803427 1018939 1084677 1542777 1581589 1683627 1742057 2704007 2945899 3056817 4744767 5226171 5357647 5656849 8112021 8837697 10287997 11208329 16072941 16970547 17397479 19162627 29744077 30863991 33624987 52192437 54003767 57487881 58934117 83824217 89232231 113167967 162011301 166087057 176802351 251472651 283955291 318927907 339503901 498261171 545263841 594041437 851865873 922066387 956783721 1635791523 1676943511 1782124311 1826957627 2766199161 3123508201 3508206977 5030830533 5480872881 5997902251 8802614021 9370524603 10524620931 16903179071 17993706753 18446378621 26407842063 50709537213 51985248841 55339135863 88878006083 96828754231 155955746523 185934969781 266634018249 290486262693 557804909343 571837737251 977658066913 1715513211753 2755218188573 2932974200739 8265654565719 30307400074303 90922200222909