Search a number
-
+
2330222202 = 2337114313033
BaseRepresentation
bin1000101011100100…
…0101111001111010
320000101201112221000
42022321011321322
514233014102302
61023120425430
7111513363510
oct21271057172
96011645830
102330222202
11a96393480
12550478276
132b19c7309
141816984b0
15d989131c
hex8ae45e7a

2330222202 has 128 divisors (see below), whose sum is σ = 6606673920. Its totient is φ = 591131520.

The previous prime is 2330222197. The next prime is 2330222203. The reversal of 2330222202 is 2022220332.

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

It is not an unprimeable number, because it can be changed into a prime (2330222203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172278 + ... + 185310.

It is an arithmetic number, because the mean of its divisors is an integer number (51614640).

Almost surely, 22330222202 is an apocalyptic number.

2330222202 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 2330222202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303336960).

2330222202 is an abundant number, since it is smaller than the sum of its proper divisors (4276451718).

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

2330222202 is a wasteful number, since it uses less digits than its factorization.

2330222202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13105 (or 13099 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2330222202 is about 48272.3751435539. The cubic root of 2330222202 is about 1325.7626466505.

Adding to 2330222202 its reverse (2022220332), we get a palindrome (4352442534).

The spelling of 2330222202 in words is "two billion, three hundred thirty million, two hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 43 54 63 66 77 86 99 126 129 154 189 198 231 258 297 301 378 387 462 473 594 602 693 774 903 946 1161 1386 1419 1806 2079 2322 2709 2838 3311 4158 4257 5418 6622 8127 8514 9933 12771 13033 16254 19866 25542 26066 29799 39099 59598 78198 89397 91231 117297 143363 178794 182462 234594 273693 286726 351891 430089 547386 560419 703782 821079 860178 1003541 1120838 1290267 1642158 1681257 2007082 2463237 2580534 3010623 3362514 3870801 3922933 4926474 5043771 6021246 6164609 7741602 7845866 9031869 10087542 11768799 12329218 15131313 18063738 18493827 23537598 27095607 30262626 35306397 36987654 43152263 54191214 55481481 70612794 86304526 105919191 110962962 129456789 166444443 211838382 258913578 332888886 388370367 776740734 1165111101 2330222202