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30222321222000 = 2435329317191309
BaseRepresentation
bin1101101111100101011101…
…01110001000000101110000
310222000020002112022000012110
412313302232232020011300
512430130303213101000
6144135535342325320
76236330202530205
oct667625656100560
9128006075260173
1030222321222000
1196a223a487766
123481356289840
1313b2c4cccb89b
14766aa7b47cac
15376242b7d850
hex1b7caeb88170

30222321222000 has 160 divisors (see below), whose sum is σ = 97769317988160. Its totient is φ = 8031779097600.

The previous prime is 30222321221971. The next prime is 30222321222031. The reversal of 30222321222000 is 22212322203.

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 31 ways as a sum of consecutive naturals, for example, 6837655 + ... + 10353654.

It is an arithmetic number, because the mean of its divisors is an integer number (611058237426).

Almost surely, 230222321222000 is an apocalyptic number.

30222321222000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30222321222000 is an abundant number, since it is smaller than the sum of its proper divisors (67546996766160).

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

30222321222000 is a wasteful number, since it uses less digits than its factorization.

30222321222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17191628 (or 17191612 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 30222321222000 its reverse (22212322203), we get a palindrome (30244533544203).

The spelling of 30222321222000 in words is "thirty trillion, two hundred twenty-two billion, three hundred twenty-one million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 293 300 375 400 500 586 600 750 879 1000 1172 1200 1465 1500 1758 2000 2344 2930 3000 3516 4395 4688 5860 6000 7032 7325 8790 11720 14064 14650 17580 21975 23440 29300 35160 36625 43950 58600 70320 73250 87900 109875 117200 146500 175800 219750 293000 351600 439500 586000 879000 1758000 17191309 34382618 51573927 68765236 85956545 103147854 137530472 171913090 206295708 257869635 275060944 343826180 412591416 429782725 515739270 687652360 825182832 859565450 1031478540 1289348175 1375304720 1719130900 2062957080 2148913625 2578696350 3438261800 4125914160 4297827250 5037053537 5157392700 6446740875 6876523600 8595654500 10074107074 10314785400 12893481750 15111160611 17191309000 20148214148 20629570800 25185267685 25786963500 30222321222 34382618000 40296428296 50370535370 51573927000 60444642444 75555803055 80592856592 100741070740 103147854000 120889284888 125926338425 151111606110 201482141480 241778569776 251852676850 302223212220 377779015275 402964282960 503705353700 604446424440 629631692125 755558030550 1007410707400 1208892848880 1259263384250 1511116061100 1888895076375 2014821414800 2518526768500 3022232122200 3777790152750 5037053537000 6044464244400 7555580305500 10074107074000 15111160611000 30222321222000