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30222219960 = 2333543164927
BaseRepresentation
bin11100001001011000…
…100111101010111000
32220000020102211212000
4130021120213222320
5443343342014320
621514531021000
72116635426312
oct341130475270
986006384760
1030222219960
11118a9723199
125a3543a760
132b0842c0ba
141669b727b2
15bbd3c1c90
hex709627ab8

30222219960 has 128 divisors (see below), whose sum is σ = 100976025600. Its totient is φ = 8040435840.

The previous prime is 30222219947. The next prime is 30222219961. The reversal of 30222219960 is 6991222203.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30222219961) 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 31 ways as a sum of consecutive naturals, for example, 433017 + ... + 497943.

It is an arithmetic number, because the mean of its divisors is an integer number (788875200).

Almost surely, 230222219960 is an apocalyptic number.

30222219960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30222219960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50488012800).

30222219960 is an abundant number, since it is smaller than the sum of its proper divisors (70753805640).

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

30222219960 is a wasteful number, since it uses less digits than its factorization.

30222219960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65378 (or 65368 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 30222219960 in words is "thirty billion, two hundred twenty-two million, two hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 431 540 862 1080 1293 1724 2155 2586 3448 3879 4310 5172 6465 7758 8620 10344 11637 12930 15516 17240 19395 23274 25860 31032 38790 46548 51720 58185 64927 77580 93096 116370 129854 155160 194781 232740 259708 324635 389562 465480 519416 584343 649270 779124 973905 1168686 1298540 1558248 1753029 1947810 2337372 2597080 2921715 3506058 3895620 4674744 5843430 7012116 7791240 8765145 11686860 14024232 17530290 23373720 27983537 35060580 55967074 70121160 83950611 111934148 139917685 167901222 223868296 251851833 279835370 335802444 419753055 503703666 559670740 671604888 755555499 839506110 1007407332 1119341480 1259259165 1511110998 1679012220 2014814664 2518518330 3022221996 3358024440 3777777495 5037036660 6044443992 7555554990 10074073320 15111109980 30222219960