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33221122220 = 225111317240193
BaseRepresentation
bin11110111100001000…
…100001100010101100
310011202020101212101002
4132330020201202230
51021014101402340
623132255535432
72254151610506
oct367410414254
9104666355332
1033221122220
11130a8503910
12653182a578
13319581aa90
141872170d76
15ce67ea715
hex7bc2218ac

33221122220 has 144 divisors (see below), whose sum is σ = 87067921248. Its totient is φ = 10494935040.

The previous prime is 33221122213. The next prime is 33221122229. The reversal of 33221122220 is 2222112233.

It is a happy number.

It is a super-2 number, since 2×332211222202 (a number of 22 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 = 33221122192 and 33221122201.

It is not an unprimeable number, because it can be changed into a prime (33221122229) 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, 806444 + ... + 846636.

It is an arithmetic number, because the mean of its divisors is an integer number (604638342).

Almost surely, 233221122220 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 33221122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43533960624).

33221122220 is an abundant number, since it is smaller than the sum of its proper divisors (53846799028).

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

33221122220 is a wasteful number, since it uses less digits than its factorization.

33221122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40260 (or 40241 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 33221122220 its reverse (2222112233), we get a palindrome (35443234453).

The spelling of 33221122220 in words is "thirty-three billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 130 143 170 187 220 221 260 286 289 340 374 442 572 578 715 748 884 935 1105 1156 1430 1445 1870 2210 2431 2860 2890 3179 3740 3757 4420 4862 5780 6358 7514 9724 12155 12716 15028 15895 18785 24310 31790 37570 40193 41327 48620 63580 75140 80386 82654 160772 165308 200965 206635 401930 413270 442123 522509 683281 803860 826540 884246 1045018 1366562 1768492 2090036 2210615 2612545 2733124 3416405 4421230 5225090 5747599 6832810 7516091 8842460 8882653 10450180 11495198 11615777 13665620 15032182 17765306 22990396 23231554 28737995 30064364 35530612 37580455 44413265 46463108 57475990 58078885 75160910 88826530 97709183 114951980 116157770 127773547 150321820 151005101 177653060 195418366 232315540 255547094 302010202 390836732 488545915 511094188 604020404 638867735 755025505 977091830 1277735470 1510051010 1661056111 1954183660 2555470940 3020102020 3322112222 6644224444 8305280555 16610561110 33221122220