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33023000220 = 22357211399401
BaseRepresentation
bin11110110000010100…
…101111111010011100
310011020102121020002020
4132300110233322130
51020112342001340
623100501300140
72246224604400
oct366024577234
9104212536066
1033023000220
1113006693921
126497404650
133163770522
141853b1b100
15cd42129d0
hex7b052fe9c

33023000220 has 144 divisors (see below), whose sum is σ = 108513584928. Its totient is φ = 7481241600.

The previous prime is 33023000183. The next prime is 33023000233. The reversal of 33023000220 is 2200032033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 33023000220.

It is a congruent number.

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, 282520 + ... + 381920.

It is an arithmetic number, because the mean of its divisors is an integer number (753566562).

Almost surely, 233023000220 is an apocalyptic number.

33023000220 is a gapful number since it is divisible by the number (30) 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 33023000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54256792464).

33023000220 is an abundant number, since it is smaller than the sum of its proper divisors (75490584708).

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

33023000220 is a wasteful number, since it uses less digits than its factorization.

33023000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99540 (or 99531 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 33023000220 its reverse (2200032033), we get a palindrome (35223032253).

The spelling of 33023000220 in words is "thirty-three billion, twenty-three million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 113 140 147 196 210 226 245 294 339 420 452 490 565 588 678 735 791 980 1130 1356 1470 1582 1695 2260 2373 2940 3164 3390 3955 4746 5537 6780 7910 9492 11074 11865 15820 16611 22148 23730 27685 33222 47460 55370 66444 83055 99401 110740 166110 198802 298203 332220 397604 497005 596406 695807 994010 1192812 1391614 1491015 1988020 2087421 2783228 2982030 3479035 4174842 4870649 5964060 6958070 8349684 9741298 10437105 11232313 13916140 14611947 19482596 20874210 22464626 24353245 29223894 33696939 41748420 44929252 48706490 56161565 58447788 67393878 73059735 78626191 97412980 112323130 134787756 146119470 157252382 168484695 224646260 235878573 292238940 314504764 336969390 393130955 471757146 550383337 673938780 786261910 943514292 1100766674 1179392865 1572523820 1651150011 2201533348 2358785730 2751916685 3302300022 4717571460 5503833370 6604600044 8255750055 11007666740 16511500110 33023000220