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232005473280 = 21032574153331
BaseRepresentation
bin1101100000010010011…
…0101001010000000000
3211011211212020012000200
43120010212221100000
512300121400121110
6254325402245200
722522211661510
oct3300446512000
9734755205020
10232005473280
118a43604aa69
1238b6a1b6800
1318b55026949
14b32ca0b840
15607d1926c0
hex36049a9400

232005473280 has 1056 divisors, whose sum is σ = 961797328128. Its totient is φ = 50606899200.

The previous prime is 232005473207. The next prime is 232005473281. The reversal of 232005473280 is 82374500232.

232005473280 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 0 + 547 + 32 + 80 = 666.

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 (232005473281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 700922715 + ... + 700923045.

Almost surely, 2232005473280 is an apocalyptic number.

232005473280 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 232005473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480898664064).

232005473280 is an abundant number, since it is smaller than the sum of its proper divisors (729791854848).

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

232005473280 is a wasteful number, since it uses less digits than its factorization.

232005473280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 232005473280 in words is "two hundred thirty-two billion, five million, four hundred seventy-three thousand, two hundred eighty".