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2233334142 = 2321321145233
BaseRepresentation
bin1000010100011101…
…1111100101111110
312202122102010111100
42011013133211332
514033213143032
61005340033530
7106226012154
oct20507374576
95678363440
102233334142
11a46727aa6
12523b328a6
132979030c0
141728773d4
15d110397c
hex851df97e

2233334142 has 48 divisors (see below), whose sum is σ = 5235925968. Its totient is φ = 683907840.

The previous prime is 2233334141. The next prime is 2233334153. The reversal of 2233334142 is 2414333322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233334141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26758 + ... + 71990.

It is an arithmetic number, because the mean of its divisors is an integer number (109081791).

Almost surely, 22233334142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233334142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617962984).

2233334142 is an abundant number, since it is smaller than the sum of its proper divisors (3002591826).

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

2233334142 is a wasteful number, since it uses less digits than its factorization.

2233334142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45465 (or 45462 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 2233334142 is about 47258.1648183676. The cubic root of 2233334142 is about 1307.1273497808.

Adding to 2233334142 its reverse (2414333322), we get a palindrome (4647667464).

It can be divided in two parts, 223333 and 4142, that added together give a triangular number (227475 = T674).

The spelling of 2233334142 in words is "two billion, two hundred thirty-three million, three hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 211 234 422 633 1266 1899 2743 3798 5486 8229 16458 24687 45233 49374 90466 135699 271398 407097 588029 814194 1176058 1764087 3528174 5292261 9544163 10584522 19088326 28632489 57264978 85897467 124074119 171794934 248148238 372222357 744444714 1116667071 2233334142