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221223134220 = 223511232633623
BaseRepresentation
bin1100111000000111101…
…1010010010000001100
3210011000102100121110120
43032001323102100030
512111031110243340
6245343431304540
721661054420614
oct3160173222014
9704012317416
10221223134220
1185902768050
1236a5b21b150
1317b2722b16a
14a9c89d9a44
155b4b79a4d0
hex3381ed240c

221223134220 has 144 divisors (see below), whose sum is σ = 706394449152. Its totient is φ = 51298037120.

The previous prime is 221223134087. The next prime is 221223134233. The reversal of 221223134220 is 22431322122.

It is a super-2 number, since 2×2212231342202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32329 + ... + 665951.

It is an arithmetic number, because the mean of its divisors is an integer number (4905517008).

Almost surely, 2221223134220 is an apocalyptic number.

221223134220 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 221223134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353197224576).

221223134220 is an abundant number, since it is smaller than the sum of its proper divisors (485171314932).

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

221223134220 is a wasteful number, since it uses less digits than its factorization.

221223134220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633692 (or 633667 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221223134220 its reverse (22431322122), we get a palindrome (243654456342).

The spelling of 221223134220 in words is "two hundred twenty-one billion, two hundred twenty-three million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 529 660 690 759 1012 1058 1265 1380 1518 1587 2116 2530 2645 3036 3174 3795 5060 5290 5819 6348 7590 7935 10580 11638 15180 15870 17457 23276 29095 31740 34914 58190 69828 87285 116380 174570 349140 633623 1267246 1900869 2534492 3168115 3801738 6336230 6969853 7603476 9504345 12672460 13939706 14573329 19008690 20909559 27879412 29146658 34849265 38017380 41819118 43719987 58293316 69698530 72866645 83638236 87439974 104547795 139397060 145733290 160306619 174879948 209095590 218599935 291466580 320613238 335186567 418191180 437199870 480919857 641226476 670373134 801533095 874399740 961839714 1005559701 1340746268 1603066190 1675932835 1923679428 2011119402 2404599285 3206132380 3351865670 3687052237 4022238804 4809198570 5027798505 6703731340 7374104474 9618397140 10055597010 11061156711 14748208948 18435261185 20111194020 22122313422 36870522370 44244626844 55305783555 73741044740 110611567110 221223134220