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2332323840 = 212357111729
BaseRepresentation
bin1000101100000100…
…0111000000000000
320000112200022211110
42023001013000000
514234033330330
61023233443320
7111540265650
oct21301070000
96015608743
102332323840
11a97599470
12551110540
132b2281aa2
14181a84360
15d9b58db0
hex8b047000

2332323840 has 832 divisors, whose sum is σ = 10190914560. Its totient is φ = 440401920.

The previous prime is 2332323839. The next prime is 2332323859. The reversal of 2332323840 is 483232332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2332323798 and 2332323807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80424946 + ... + 80424974.

Almost surely, 22332323840 is an apocalyptic number.

2332323840 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 2332323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095457280).

2332323840 is an abundant number, since it is smaller than the sum of its proper divisors (7858590720).

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

2332323840 is a wasteful number, since it uses less digits than its factorization.

2332323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 2332323840 is about 48294.1387748037. The cubic root of 2332323840 is about 1326.1610973395.

The spelling of 2332323840 in words is "two billion, three hundred thirty-two million, three hundred twenty-three thousand, eight hundred forty".