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220004422220 = 225112414619001
BaseRepresentation
bin1100110011100101001…
…0010001001001001100
3210000212111010121220002
43030321102101021030
512101032113002340
6245022454143432
721615625506452
oct3147122211114
9700774117802
10220004422220
1185337840750
123677b051b78
13179918b48bb
14a910bd89d2
155ac97b5715
hex333949124c

220004422220 has 96 divisors (see below), whose sum is σ = 507255642432. Its totient is φ = 79488000000.

The previous prime is 220004422207. The next prime is 220004422243. The reversal of 220004422220 is 22224400022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220004422192 and 220004422201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24437720 + ... + 24446720.

It is an arithmetic number, because the mean of its divisors is an integer number (5283912942).

Almost surely, 2220004422220 is an apocalyptic number.

220004422220 is a gapful number since it is divisible by the number (20) 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 220004422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253627821216).

220004422220 is an abundant number, since it is smaller than the sum of its proper divisors (287251220212).

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

220004422220 is a wasteful number, since it uses less digits than its factorization.

220004422220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9723 (or 9721 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 220004422220 its reverse (22224400022), we get a palindrome (242228822242).

The spelling of 220004422220 in words is "two hundred twenty billion, four million, four hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 461 482 922 964 1205 1844 2305 2410 2651 4610 4820 5071 5302 9001 9220 10142 10604 13255 18002 20284 25355 26510 36004 45005 50710 53020 90010 99011 101420 111101 180020 198022 222202 396044 444404 495055 555505 990110 1111010 1222111 1980220 2169241 2222020 2444222 4149461 4338482 4888444 6110555 8298922 8676964 10846205 12221110 16597844 20747305 21692410 23861651 24442220 41494610 43384820 45644071 47723302 82989220 91288142 95446604 119308255 182576284 228220355 238616510 456440710 477233020 912881420 1000020101 2000040202 4000080404 5000100505 10000201010 11000221111 20000402020 22000442222 44000884444 55001105555 110002211110 220004422220