Search a number
-
+
2233311340 = 2251323132111
BaseRepresentation
bin1000010100011101…
…1010000001101100
312202122100222012211
42011013122001230
514033211430330
61005335340204
7106225555531
oct20507320154
95678328184
102233311340
11a46711957
12523b21664
132978c5900
1417286cd88
15d10ebd2a
hex851da06c

2233311340 has 72 divisors (see below), whose sum is σ = 5097109248. Its totient is φ = 821583360.

The previous prime is 2233311329. The next prime is 2233311347. The reversal of 2233311340 is 431133322.

It is not an unprimeable number, because it can be changed into a prime (2233311347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056885 + ... + 1058995.

It is an arithmetic number, because the mean of its divisors is an integer number (70793184).

Almost surely, 22233311340 is an apocalyptic number.

2233311340 is a gapful number since it is divisible by the number (20) 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 2233311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548554624).

2233311340 is an abundant number, since it is smaller than the sum of its proper divisors (2863797908).

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

2233311340 is a wasteful number, since it uses less digits than its factorization.

2233311340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 2233311340 is about 47257.9235684345. The cubic root of 2233311340 is about 1307.1229012423.

Adding to 2233311340 its reverse (431133322), we get a palindrome (2664444662).

The spelling of 2233311340 in words is "two billion, two hundred thirty-three million, three hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 313 338 626 676 845 1252 1565 1690 2111 3130 3380 4069 4222 6260 8138 8444 10555 16276 20345 21110 27443 40690 42220 52897 54886 81380 105794 109772 137215 211588 264485 274430 356759 528970 548860 660743 713518 1057940 1321486 1427036 1783795 2642972 3303715 3567590 6607430 7135180 8589659 13214860 17179318 34358636 42948295 85896590 111665567 171793180 223331134 446662268 558327835 1116655670 2233311340