Search a number
-
+
2331021330 = 2325117433169
BaseRepresentation
bin1000101011110000…
…1001000000010010
320000110020011010100
42022330021000102
514233220140310
61023145513230
7111523232361
oct21274110022
96013204110
102331021330
11a96889910
125507a2816
132b1c16c81
141818257d8
15d999cec0
hex8af09012

2331021330 has 96 divisors (see below), whose sum is σ = 6622611840. Its totient is φ = 564157440.

The previous prime is 2331021323. The next prime is 2331021331. The reversal of 2331021330 is 331201332.

2331021330 is a `hidden beast` number, since 2 + 3 + 310 + 21 + 330 = 666.

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 (2331021331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733986 + ... + 737154.

It is an arithmetic number, because the mean of its divisors is an integer number (68985540).

Almost surely, 22331021330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2331021330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311305920).

2331021330 is an abundant number, since it is smaller than the sum of its proper divisors (4291590510).

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

2331021330 is a wasteful number, since it uses less digits than its factorization.

2331021330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2331021330 is about 48280.6517147397. The cubic root of 2331021330 is about 1325.9141819797.

Adding to 2331021330 its reverse (331201332), we get a palindrome (2662222662).

It can be divided in two parts, 233102 and 1330, that added together give a palindrome (234432).

The spelling of 2331021330 in words is "two billion, three hundred thirty-one million, twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 743 990 1486 2229 3169 3715 4458 6338 6687 7430 8173 9507 11145 13374 15845 16346 19014 22290 24519 28521 31690 33435 34859 40865 47535 49038 57042 66870 69718 73557 81730 95070 104577 122595 142605 147114 174295 209154 245190 285210 313731 348590 367785 522885 627462 735570 1045770 1568655 2354567 3137310 4709134 7063701 11772835 14127402 21191103 23545670 25900237 35318505 42382206 51800474 70637010 77700711 105955515 129501185 155401422 211911030 233102133 259002370 388503555 466204266 777007110 1165510665 2331021330