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232985802240 = 29325311033167
BaseRepresentation
bin1101100011111100001…
…0010011011000000000
3211021101011220001112200
43120333002103120000
512304123331132430
6255010542153200
722555414433442
oct3307702233000
9737334801480
10232985802240
118a899458694
12391a2582800
1318c80167359
14b3c2cb8492
1560d928a460
hex363f093600

232985802240 has 480 divisors, whose sum is σ = 841276440576. Its totient is φ = 59522826240.

The previous prime is 232985802229. The next prime is 232985802311. The reversal of 232985802240 is 42208589232.

232985802240 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 8 + 580 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73565137 + ... + 73568303.

Almost surely, 2232985802240 is an apocalyptic number.

232985802240 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 232985802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420638220288).

232985802240 is an abundant number, since it is smaller than the sum of its proper divisors (608290638336).

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

232985802240 is a wasteful number, since it uses less digits than its factorization.

232985802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 232985802240 in words is "two hundred thirty-two billion, nine hundred eighty-five million, eight hundred two thousand, two hundred forty".