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220221113220 = 223257185720107
BaseRepresentation
bin1100110100011000110…
…0111000001110000100
3210001102120212200001200
43031012030320032010
512102003101110340
6245100154422500
721624166401603
oct3150614701604
9701376780050
10220221113220
1185439093919
123681b731a30
13179c7764124
14a9318c3a3a
155add81a330
hex3346338384

220221113220 has 144 divisors (see below), whose sum is σ = 678236727168. Its totient is φ = 57828072960.

The previous prime is 220221113213. The next prime is 220221113221. The reversal of 220221113220 is 22311122022.

220221113220 is a `hidden beast` number, since 220 + 2 + 211 + 13 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220221113193 and 220221113202.

It is not an unprimeable number, because it can be changed into a prime (220221113221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10942407 + ... + 10962513.

It is an arithmetic number, because the mean of its divisors is an integer number (4709977272).

Almost surely, 2220221113220 is an apocalyptic number.

220221113220 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 220221113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339118363584).

220221113220 is an abundant number, since it is smaller than the sum of its proper divisors (458015613948).

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

220221113220 is a wasteful number, since it uses less digits than its factorization.

220221113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21050 (or 21045 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220221113220 its reverse (22311122022), we get a palindrome (242532235242).

The spelling of 220221113220 in words is "two hundred twenty billion, two hundred twenty-one million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 857 1065 1278 1420 1714 2130 2556 2571 3195 3428 4260 4285 5142 6390 7713 8570 10284 12780 12855 15426 17140 20107 25710 30852 38565 40214 51420 60321 60847 77130 80428 100535 120642 121694 154260 180963 182541 201070 241284 243388 301605 304235 361926 365082 402140 547623 603210 608470 723852 730164 904815 912705 1095246 1206420 1216940 1427597 1809630 1825410 2190492 2738115 2855194 3619260 3650820 4282791 5476230 5710388 7137985 8565582 10952460 12848373 14275970 17131164 17231699 21413955 25696746 28551940 34463398 42827910 51393492 51695097 64241865 68926796 85655820 86158495 103390194 128483730 155085291 172316990 206780388 256967460 258475485 310170582 344633980 516950970 620341164 775426455 1033901940 1223450629 1550852910 2446901258 3101705820 3670351887 4893802516 6117253145 7340703774 11011055661 12234506290 14681407548 18351759435 22022111322 24469012580 36703518870 44044222644 55055278305 73407037740 110110556610 220221113220