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2223824152 = 231134572
BaseRepresentation
bin1000010010001100…
…1101110100011000
312201222111222020111
42010203031310120
514023244333102
61004400134104
7106052123224
oct20443156430
95658458214
102223824152
11a41322000
12520907334
132959535a4
141714bd784
15d0375cd7
hex848cdd18

2223824152 has 48 divisors (see below), whose sum is σ = 4596381720. Its totient is φ = 1008617280.

The previous prime is 2223824149. The next prime is 2223824177. The reversal of 2223824152 is 2514283222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 11 ways as a sum of consecutive naturals, for example, 4865908 + ... + 4866364.

Almost surely, 22223824152 is an apocalyptic number.

2223824152 is a gapful number since it is divisible by the number (22) 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 2223824152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298190860).

2223824152 is an abundant number, since it is smaller than the sum of its proper divisors (2372557568).

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

2223824152 is an frugal number, since it uses more digits than its factorization.

2223824152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 470 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 2223824152 is about 47157.4400492648. The cubic root of 2223824152 is about 1305.2693722254.

The spelling of 2223824152 in words is "two billion, two hundred twenty-three million, eight hundred twenty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 457 484 914 968 1331 1828 2662 3656 5027 5324 10054 10648 20108 40216 55297 110594 208849 221188 417698 442376 608267 835396 1216534 1670792 2297339 2433068 4594678 4866136 9189356 18378712 25270729 50541458 101082916 202165832 277978019 555956038 1111912076 2223824152