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422346343643224 = 237211213684942239
BaseRepresentation
bin110000000000111110010101…
…1110010001111100001011000
32001101101220201212020111120021
41200001330223302033201120
5420324210302433040344
64054131122020240224
7154650342054604300
oct14001745362174130
92041356655214507
10422346343643224
11112633095492900
123b451673b40074
13151881212b1740
14764195a368600
1533c62e7000b84
hex1801f2bc8f858

422346343643224 has 144 divisors (see below), whose sum is σ = 1090434895502400. Its totient is φ = 151892790698880.

The previous prime is 422346343643197. The next prime is 422346343643251.

422346343643224 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (422346343643197) and next prime (422346343643251).

It is a super-2 number, since 2×4223463436432242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 341854504 + ... + 343087735.

It is an arithmetic number, because the mean of its divisors is an integer number (7572464552100).

Almost surely, 2422346343643224 is an apocalyptic number.

422346343643224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422346343643224 is an abundant number, since it is smaller than the sum of its proper divisors (668088551859176).

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

422346343643224 is a wasteful number, since it uses less digits than its factorization.

422346343643224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684942294 (or 684942272 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 52.

The spelling of 422346343643224 in words is "four hundred twenty-two trillion, three hundred forty-six billion, three hundred forty-three million, six hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 56 77 88 91 98 104 121 143 154 182 196 242 286 308 364 392 484 539 572 616 637 728 847 968 1001 1078 1144 1274 1573 1694 2002 2156 2548 3146 3388 4004 4312 5096 5929 6292 6776 7007 8008 11011 11858 12584 14014 22022 23716 28028 44044 47432 56056 77077 88088 154154 308308 616616 684942239 1369884478 2739768956 4794595673 5479537912 7534364629 8904249107 9589191346 15068729258 17808498214 19178382692 30137458516 33562169711 35616996428 38356765384 52740552403 60274917032 62329743749 67124339422 71233992856 82878010919 97946740177 105481104806 124659487498 134248678844 165756021838 195893480354 210962209612 249318974996 268497357688 331512043676 369183866821 391786960708 421924419224 436308206243 498637949992 580146076433 663024087352 685627181239 738367733642 783573921416 872616412486 1077414141947 1160292152866 1371254362478 1476735467284 1745232824972 2154828283894 2320584305732 2742508724956 2953470934568 3490465649944 4061022535031 4309656567788 4641168611464 4799390268673 5485017449912 7541898993629 8122045070062 8619313135576 9598780537346 15083797987258 16244090140124 19197561074692 30167595974516 32488180280248 38395122149384 52793292955403 60335191949032 105586585910806 211173171821612 422346343643224