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22024620201420 = 22325268345605293
BaseRepresentation
bin1010000001000000000011…
…01010011101010111001100
32212222112101122120011201200
411000200001222131113030
510341322410232421140
6114501545411305500
74432140422544564
oct500400152352714
985875348504650
1022024620201420
117021652a17621
1225786288ab290
13c39bb3494015
14561dd686bda4
15282d9e513030
hex140801a9d5cc

22024620201420 has 72 divisors (see below), whose sum is σ = 66832916566416. Its totient is φ = 5871042870912.

The previous prime is 22024620201413. The next prime is 22024620201421. The reversal of 22024620201420 is 2410202642022.

22024620201420 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 4 + 620 + 2 + 0 + 14 + 20 = 666.

It is a super-2 number, since 2×220246202014202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22024620201421) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22319707 + ... + 23285586.

Almost surely, 222024620201420 is an apocalyptic number.

22024620201420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22024620201420 is an abundant number, since it is smaller than the sum of its proper divisors (44808296364996).

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

22024620201420 is a wasteful number, since it uses less digits than its factorization.

22024620201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45607991 (or 45607986 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22024620201420 its reverse (2410202642022), we get a palindrome (24434822843442).

The spelling of 22024620201420 in words is "twenty-two trillion, twenty-four billion, six hundred twenty million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2683 5366 8049 10732 13415 16098 24147 26830 32196 40245 48294 53660 80490 96588 120735 160980 241470 482940 45605293 91210586 136815879 182421172 228026465 273631758 410447637 456052930 547263516 684079395 820895274 912105860 1368158790 1641790548 2052238185 2736317580 4104476370 8208952740 122359001119 244718002238 367077003357 489436004476 611795005595 734154006714 1101231010071 1223590011190 1468308013428 1835385016785 2202462020142 2447180022380 3670770033570 4404924040284 5506155050355 7341540067140 11012310100710 22024620201420