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2329245072 = 2434711171373
BaseRepresentation
bin1000101011010101…
…0111010110010000
320000022212220120000
42022311113112100
514232241320242
61023043450000
7111502153650
oct21265272620
96008786500
102329245072
11a95886330
12550086900
132b174462b
141814c2360
15d974ba4c
hex8ad57590

2329245072 has 400 divisors, whose sum is σ = 8905894272. Its totient is φ = 568995840.

The previous prime is 2329245059. The next prime is 2329245073. The reversal of 2329245072 is 2705429232.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2329245073) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1695778 + ... + 1697150.

Almost surely, 22329245072 is an apocalyptic number.

2329245072 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 2329245072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452947136).

2329245072 is an abundant number, since it is smaller than the sum of its proper divisors (6576649200).

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

2329245072 is a wasteful number, since it uses less digits than its factorization.

2329245072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2329245072 is about 48262.2530762914. The cubic root of 2329245072 is about 1325.5773104527.

The spelling of 2329245072 in words is "two billion, three hundred twenty-nine million, two hundred forty-five thousand, seventy-two".