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33222011220 = 22335199309157
BaseRepresentation
bin11110111100001011…
…111010100101010100
310011202022002000212000
4132330023322211110
51021014313324340
623132330555300
72254162302366
oct367413724524
9104668060760
1033222011220
11130a8a60822
126531b98b30
133195a6c608
141872322d36
15ce6923d30
hex7bc2fa954

33222011220 has 96 divisors (see below), whose sum is σ = 103877088000. Its totient is φ = 8814655872.

The previous prime is 33222011213. The next prime is 33222011239. The reversal of 33222011220 is 2211022233.

33222011220 is a `hidden beast` number, since 332 + 220 + 112 + 2 + 0 = 666.

It is a super-2 number, since 2×332220112202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33222011193 and 33222011202.

It is a congruent number.

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, 47119 + ... + 262038.

It is an arithmetic number, because the mean of its divisors is an integer number (1082053000).

Almost surely, 233222011220 is an apocalyptic number.

33222011220 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 33222011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51938544000).

33222011220 is an abundant number, since it is smaller than the sum of its proper divisors (70655076780).

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

33222011220 is a wasteful number, since it uses less digits than its factorization.

33222011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309374 (or 309366 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33222011220 its reverse (2211022233), we get a palindrome (35433033453).

The spelling of 33222011220 in words is "thirty-three billion, two hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 199 270 398 540 597 796 995 1194 1791 1990 2388 2985 3582 3980 5373 5970 7164 8955 10746 11940 17910 21492 26865 35820 53730 107460 309157 618314 927471 1236628 1545785 1854942 2782413 3091570 3709884 4637355 5564826 6183140 8347239 9274710 11129652 13912065 16694478 18549420 27824130 33388956 41736195 55648260 61522243 83472390 123044486 166944780 184566729 246088972 307611215 369133458 553700187 615222430 738266916 922833645 1107400374 1230444860 1661100561 1845667290 2214800748 2768500935 3322201122 3691334580 5537001870 6644402244 8305502805 11074003740 16611005610 33222011220