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220221100112 = 241380910971193
BaseRepresentation
bin1100110100011000110…
…0110101000001010000
3210001102120212000002012
43031012030311001100
512102003100200422
6245100154242052
721624166315436
oct3150614650120
9701376760065
10220221100112
1185439084a92
123681b726328
13179c775b180
14a9318bcd56
155add8164e2
hex3346335050

220221100112 has 80 divisors (see below), whose sum is σ = 460873158480. Its totient is φ = 101337317376.

The previous prime is 220221100111. The next prime is 220221100129. The reversal of 220221100112 is 211001122022.

It can be written as a sum of positive squares in 8 ways, for example, as 1548894736 + 218672205376 = 39356^2 + 467624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220221100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184593788 + ... + 184594980.

It is an arithmetic number, because the mean of its divisors is an integer number (5760914481).

Almost surely, 2220221100112 is an apocalyptic number.

It is an amenable number.

220221100112 is an abundant number, since it is smaller than the sum of its proper divisors (240652058368).

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

220221100112 is a wasteful number, since it uses less digits than its factorization.

220221100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220221100112 its reverse (211001122022), we get a palindrome (431222222134).

The spelling of 220221100112 in words is "two hundred twenty billion, two hundred twenty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 809 1097 1193 1618 2194 2386 3236 4388 4772 6472 8776 9544 10517 12944 14261 15509 17552 19088 21034 28522 31018 42068 57044 62036 84136 114088 124072 168272 228176 248144 887473 965137 1308721 1774946 1930274 2617442 3549892 3860548 5234884 7099784 7721096 10469768 11537149 12546781 14199568 15442192 17013373 20939536 23074298 25093562 34026746 46148596 50187124 68053492 92297192 100374248 136106984 184594384 200748496 272213968 1058755289 2117510578 4235021156 8470042312 13763818757 16940084624 27527637514 55055275028 110110550056 220221100112