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2133233322 = 23111910116843
BaseRepresentation
bin111111100100110…
…1000111010101010
312111200001110222120
41333021220322222
513332101431242
6551402332110
7103602120063
oct17711507252
95450043876
102133233322
119a5177850
124b64ba036
1327cc5574c
1416345b56a
15c742e1ec
hex7f268eaa

2133233322 has 64 divisors (see below), whose sum is σ = 4948093440. Its totient is φ = 606312000.

The previous prime is 2133233317. The next prime is 2133233339. The reversal of 2133233322 is 2233323312.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2133233292 and 2133233301.

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, 118233 + ... + 135075.

It is an arithmetic number, because the mean of its divisors is an integer number (77313960).

Almost surely, 22133233322 is an apocalyptic number.

2133233322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133233322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474046720).

2133233322 is an abundant number, since it is smaller than the sum of its proper divisors (2814860118).

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

2133233322 is a wasteful number, since it uses less digits than its factorization.

2133233322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16979.

The product of its digits is 3888, while the sum is 24.

The square root of 2133233322 is about 46186.9388680393. The cubic root of 2133233322 is about 1287.2990625180.

Adding to 2133233322 its reverse (2233323312), we get a palindrome (4366556634).

The spelling of 2133233322 in words is "two billion, one hundred thirty-three million, two hundred thirty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 101 114 202 209 303 418 606 627 1111 1254 1919 2222 3333 3838 5757 6666 11514 16843 21109 33686 42218 50529 63327 101058 126654 185273 320017 370546 555819 640034 960051 1111638 1701143 1920102 3402286 3520187 5103429 7040374 10206858 10560561 18712573 21121122 32321717 37425146 56137719 64643434 96965151 112275438 193930302 355538887 711077774 1066616661 2133233322