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2233031120 = 24527912889
BaseRepresentation
bin1000010100011001…
…0101100111010000
312202121211201211022
42011012111213100
514033123443440
61005325335012
7106223310545
oct20506254720
95677751738
102233031120
11a46540371
12523a07468
132978281b8
141727d8bcc
15d1093cb5
hex851959d0

2233031120 has 20 divisors (see below), whose sum is σ = 5191797540. Its totient is φ = 893212416.

The previous prime is 2233031113. The next prime is 2233031149. The reversal of 2233031120 is 211303322.

It can be written as a sum of positive squares in 2 ways, for example, as 1107025984 + 1126005136 = 33272^2 + 33556^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 13956365 + ... + 13956524.

It is an arithmetic number, because the mean of its divisors is an integer number (259589877).

Almost surely, 22233031120 is an apocalyptic number.

2233031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2233031120 is an abundant number, since it is smaller than the sum of its proper divisors (2958766420).

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

2233031120 is a wasteful number, since it uses less digits than its factorization.

2233031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27912902 (or 27912896 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2233031120 is about 47254.9586816029. The cubic root of 2233031120 is about 1307.0682294651.

Adding to 2233031120 its reverse (211303322), we get a palindrome (2444334442).

The spelling of 2233031120 in words is "two billion, two hundred thirty-three million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27912889 55825778 111651556 139564445 223303112 279128890 446606224 558257780 1116515560 2233031120