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226341525143622 = 237311574201263573
BaseRepresentation
bin110011011101101100111110…
…001101000100000001000110
31002200102001001001110000002210
4303131230332031010001012
5214131334420414043442
62121215510003444250
765450430664563030
oct6335547615040106
91080361031400083
10226341525143622
11661349a1261049
1221476606986686
13993abb676a4b5
143dc6db9b4ac50
151b279e0db819c
hexcddb3e344046

226341525143622 has 128 divisors (see below), whose sum is σ = 537572339048448. Its totient is φ = 62169254784000.

The previous prime is 226341525143603. The next prime is 226341525143641.

226341525143622 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (226341525143603) and next prime (226341525143641).

It is a super-4 number, since 4×2263415251436224 (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 858611428 + ... + 858875000.

It is an arithmetic number, because the mean of its divisors is an integer number (4199783898816).

Almost surely, 2226341525143622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226341525143622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268786169524224).

226341525143622 is an abundant number, since it is smaller than the sum of its proper divisors (311230813904826).

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

226341525143622 is a wasteful number, since it uses less digits than its factorization.

226341525143622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267974.

The product of its digits is 4147200, while the sum is 48.

The spelling of 226341525143622 in words is "two hundred twenty-six trillion, three hundred forty-one billion, five hundred twenty-five million, one hundred forty-three thousand, six hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 157 186 217 314 434 471 651 942 1099 1302 2198 3297 4201 4867 6594 8402 9734 12603 14601 25206 29202 29407 34069 58814 68138 88221 102207 130231 176442 204414 260462 263573 390693 527146 659557 781386 790719 911617 1319114 1581438 1823234 1845011 1978671 2734851 3690022 3957342 4616899 5469702 5535033 8170763 9233798 11070066 13850697 16341526 20446267 24512289 27701394 40892534 41380961 49024578 57195341 61338801 82761922 114390682 122677602 124142883 143123869 171586023 248285766 286247738 289666727 343172046 429371607 579333454 858743214 869000181 1107270173 1282809791 1738000362 2214540346 2565619582 3321810519 3848429373 6643621038 7696858746 7750891211 8979668537 15501782422 17959337074 23252673633 26939005611 34325375363 46505347266 53878011222 68650750726 102976126089 173841417161 205952252178 240277627541 347682834322 480555255082 521524251483 720832882623 1043048502966 1216889920127 1441665765246 2433779840254 3650669760381 5389083931991 7301339520762 10778167863982 16167251795973 32334503591946 37723587523937 75447175047874 113170762571811 226341525143622