Search a number
-
+
422264875305 = 357136149910163
BaseRepresentation
bin1100010010100001111…
…00101010100100101001
31111100221100212020002010
412021100330222210221
523404244302002210
6521552533430133
742336055134630
oct6112074524451
91440840766063
10422264875305
11153099571799
1269a0779b349
1330a86310680
141661b1b2517
15aeb63e8920
hex6250f2a929

422264875305 has 128 divisors (see below), whose sum is σ = 846945792000. Its totient is φ = 174896962560.

The previous prime is 422264875283. The next prime is 422264875327. The reversal of 422264875305 is 503578462224.

It is an interprime number because it is at equal distance from previous prime (422264875283) and next prime (422264875327).

It is not a de Polignac number, because 422264875305 - 25 = 422264875273 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41544154 + ... + 41554316.

It is an arithmetic number, because the mean of its divisors is an integer number (6616764000).

Almost surely, 2422264875305 is an apocalyptic number.

It is an amenable number.

422264875305 is an abundant number, since it is smaller than the sum of its proper divisors (424680916695).

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

422264875305 is a wasteful number, since it uses less digits than its factorization.

422264875305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751.

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 422264875305 in words is "four hundred twenty-two billion, two hundred sixty-four million, eight hundred seventy-five thousand, three hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 61 65 91 105 183 195 273 305 427 455 499 793 915 1281 1365 1497 2135 2379 2495 3493 3965 5551 6405 6487 7485 10163 10479 11895 16653 17465 19461 27755 30439 30489 32435 45409 50815 52395 71141 83265 91317 97305 132119 136227 152195 152445 213073 213423 227045 355705 395707 396357 456585 619943 639219 660595 681135 924833 1065365 1067115 1187121 1859829 1978535 1981785 2769949 2774499 3099715 3196095 4339601 4624165 5071337 5935605 8059259 8309847 9299145 13018803 13849745 13872495 15214011 21698005 24177777 25356685 35499359 40296295 41549235 56414813 65094015 65927381 76070055 106498077 120888885 169244439 177496795 197782143 282074065 309351557 329636905 461491667 532490385 846222195 928054671 988910715 1384475001 1546757785 2165460899 2307458335 4021570241 4640273355 6496382697 6922375005 10827304495 12064710723 20107851205 28150991687 32481913485 60323553615 84452975061 140754958435 422264875305