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33230220001220 = 225111011518798473
BaseRepresentation
bin1111000111001000000110…
…11101010111111111000100
311100122210000011111211202002
413203210003131113333010
513323420442310014340
6154401430300204432
76666542554356164
oct743440335277704
9140583004454662
1033230220001220
11a651947976150
1238882a5539718
13157079a0c1538
1482c4cbaba5a4
153c95daa76715
hex1e3903757fc4

33230220001220 has 96 divisors (see below), whose sum is σ = 76886992941696. Its totient is φ = 11963166336000.

The previous prime is 33230220001213. The next prime is 33230220001273. The reversal of 33230220001220 is 2210002203233.

It is a super-2 number, since 2×332302200012202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33230220001192 and 33230220001201.

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, 337405904 + ... + 337504376.

It is an arithmetic number, because the mean of its divisors is an integer number (800906176476).

Almost surely, 233230220001220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33230220001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38443496470848).

33230220001220 is an abundant number, since it is smaller than the sum of its proper divisors (43656772940476).

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

33230220001220 is a wasteful number, since it uses less digits than its factorization.

33230220001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113781 (or 113779 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33230220001220 its reverse (2210002203233), we get a palindrome (35440222204453).

The spelling of 33230220001220 in words is "thirty-three trillion, two hundred thirty billion, two hundred twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 15187 22220 30374 60748 75935 98473 151870 167057 196946 303740 334114 393892 492365 668228 835285 984730 1083203 1533887 1670570 1969460 2166406 3067774 3341140 4332812 5416015 6135548 7669435 9945773 10832030 15338870 16872757 19891546 21664060 30677740 33745514 39783092 49728865 67491028 84363785 99457730 109403503 168727570 198915460 218807006 337455140 437614012 547017515 1094035030 1495509451 2188070060 2991018902 5982037804 7477547255 14955094510 16450603961 29910189020 32901207922 65802415844 82253019805 151046454551 164506039610 302092909102 329012079220 604185818204 755232272755 1510464545510 1661511000061 3020929091020 3323022000122 6646044000244 8307555000305 16615110000610 33230220001220