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221122233220 = 225723337203773
BaseRepresentation
bin1100110111101111101…
…0011000001110000100
3210010202101111022022111
43031323322120032010
512110324242430340
6245325424510404
721655420653610
oct3157372301604
9703671438274
10221122233220
1185860810699
1236a3147b404
1317b0c360525
14a9b9452340
155b429b8aea
hex337be98384

221122233220 has 96 divisors (see below), whose sum is σ = 555412935168. Its totient is φ = 72301565952.

The previous prime is 221122233203. The next prime is 221122233239. The reversal of 221122233220 is 22332221122.

It is a junction number, because it is equal to n+sod(n) for n = 221122233191 and 221122233200.

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, 983254 + ... + 1187026.

It is an arithmetic number, because the mean of its divisors is an integer number (5785551408).

Almost surely, 2221122233220 is an apocalyptic number.

221122233220 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 221122233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277706467584).

221122233220 is an abundant number, since it is smaller than the sum of its proper divisors (334290701948).

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

221122233220 is a wasteful number, since it uses less digits than its factorization.

221122233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204149 (or 204147 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 221122233220 its reverse (22332221122), we get a palindrome (243454454342).

The spelling of 221122233220 in words is "two hundred twenty-one billion, one hundred twenty-two million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 337 460 644 674 805 1348 1610 1685 2359 3220 3370 4718 6740 7751 9436 11795 15502 23590 31004 38755 47180 54257 77510 108514 155020 203773 217028 271285 407546 542570 815092 1018865 1085140 1426411 2037730 2852822 4075460 4686779 5705644 7132055 9373558 14264110 18747116 23433895 28528220 32807453 46867790 65614906 68671501 93735580 131229812 137343002 164037265 274686004 328074530 343357505 480700507 656149060 686715010 961401014 1373430020 1579444523 1922802028 2403502535 3158889046 4807005070 6317778092 7897222615 9614010140 11056111661 15794445230 22112223322 31588890460 44224446644 55280558305 110561116610 221122233220