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1333222220 = 22511291012069
BaseRepresentation
bin100111101110111…
…0101101101001100
310102220200201001202
41033131311231030
510212301102340
6340143325032
745016126151
oct11735655514
93386621052
101333222220
11624629650
123125b0778
1318329a7b5
14c90cc228
157c0a3c15
hex4f775b4c

1333222220 has 96 divisors (see below), whose sum is σ = 3192436800. Its totient is φ = 463232000.

The previous prime is 1333222217. The next prime is 1333222243. The reversal of 1333222220 is 222223331.

It is a super-3 number, since 3×13332222203 (a number of 28 digits) contains 333 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 = 1333222192 and 1333222201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643346 + ... + 645414.

It is an arithmetic number, because the mean of its divisors is an integer number (33254550).

Almost surely, 21333222220 is an apocalyptic number.

1333222220 is a gapful number since it is divisible by the number (10) 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 1333222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596218400).

1333222220 is an abundant number, since it is smaller than the sum of its proper divisors (1859214580).

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

1333222220 is a wasteful number, since it uses less digits than its factorization.

1333222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2217 counting only the distinct ones).

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

The square root of 1333222220 is about 36513.3156533339. The cubic root of 1333222220 is about 1100.6118414370.

Adding to 1333222220 its reverse (222223331), we get a palindrome (1555445551).

It can be divided in two parts, 13 and 33222220, that added together give a palindrome (33222233).

The spelling of 1333222220 in words is "one billion, three hundred thirty-three million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 101 110 116 145 202 220 290 319 404 505 580 638 1010 1111 1276 1595 2020 2069 2222 2929 3190 4138 4444 5555 5858 6380 8276 10345 11110 11716 14645 20690 22220 22759 29290 32219 41380 45518 58580 60001 64438 91036 113795 120002 128876 161095 208969 227590 240004 300005 322190 417938 455180 600010 644380 660011 835876 1044845 1200020 1320022 2089690 2298659 2640044 3300055 4179380 4597318 6060101 6600110 9194636 11493295 12120202 13200220 22986590 24240404 30300505 45973180 60601010 66661111 121202020 133322222 266644444 333305555 666611110 1333222220