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222112000220 = 225117314239719
BaseRepresentation
bin1100111011011011101…
…0000010100011011100
3210020022100220200101112
43032312322002203130
512114341133001340
6250011543001152
722022066564645
oct3166672024334
9706270820345
10222112000220
1186219485250
1237068a391b8
1317c39426a86
14aa70a986cc
155b9e828065
hex33b6e828dc

222112000220 has 96 divisors (see below), whose sum is σ = 516224378880. Its totient is φ = 79597416960.

The previous prime is 222112000211. The next prime is 222112000241. The reversal of 222112000220 is 22000211222.

It is a junction number, because it is equal to n+sod(n) for n = 222112000195 and 222112000204.

It is a congruent number.

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, 22848521 + ... + 22858239.

It is an arithmetic number, because the mean of its divisors is an integer number (5377337280).

Almost surely, 2222112000220 is an apocalyptic number.

222112000220 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 222112000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258112189440).

222112000220 is an abundant number, since it is smaller than the sum of its proper divisors (294112378660).

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

222112000220 is a wasteful number, since it uses less digits than its factorization.

222112000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235 (or 11233 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222112000220 its reverse (22000211222), we get a palindrome (244112211442).

The spelling of 222112000220 in words is "two hundred twenty-two billion, one hundred twelve million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1423 1460 1606 2846 3212 4015 5692 7115 8030 9719 14230 15653 16060 19438 28460 31306 38876 48595 62612 78265 97190 103879 106909 156530 194380 207758 213818 313060 415516 427636 519395 534545 709487 1038790 1069090 1142669 1418974 2077580 2138180 2285338 2837948 3547435 4570676 5713345 7094870 7804357 11426690 13830137 14189740 15608714 22853380 27660274 31217428 39021785 55320548 69150685 78043570 138301370 152131507 156087140 276602740 304263014 608526028 760657535 1009600001 1521315070 2019200002 3042630140 4038400004 5048000005 10096000010 11105600011 20192000020 22211200022 44422400044 55528000055 111056000110 222112000220