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2024330330232 = 233472371273289
BaseRepresentation
bin11101011101010011011…
…111011000000001111000
321011112011001122200120000
4131131103133120001320
5231131312031031412
64145544200233000
7266152535620320
oct35352337300170
97145131580500
102024330330232
11710571774021
122883b416b760
13118b8011a892
146dd99d16280
15379cdebe4dc
hex1d7537d8078

2024330330232 has 320 divisors, whose sum is σ = 6856999142400. Its totient is φ = 545439121920.

The previous prime is 2024330330227. The next prime is 2024330330299. The reversal of 2024330330232 is 2320330334202.

2024330330232 is a `hidden beast` number, since 2 + 0 + 24 + 3 + 303 + 302 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2024330330196 and 2024330330205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7270644 + ... + 7543932.

It is an arithmetic number, because the mean of its divisors is an integer number (21428122320).

Almost surely, 22024330330232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024330330232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428499571200).

2024330330232 is an abundant number, since it is smaller than the sum of its proper divisors (4832668812168).

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

2024330330232 is a wasteful number, since it uses less digits than its factorization.

2024330330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273408 (or 273395 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 2024330330232 its reverse (2320330334202), we get a palindrome (4344660664434).

The spelling of 2024330330232 in words is "two trillion, twenty-four billion, three hundred thirty million, three hundred thirty thousand, two hundred thirty-two".