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240223888080 = 243351131326143
BaseRepresentation
bin1101111110111001110…
…1011010001011010000
3211222001121121220201000
43133232131122023100
512413434303404310
6302205103342000
723232654233511
oct3375635321320
9758047556630
10240223888080
1192973138710
123a6825b1900
13198648a0a97
14b8ac2cca08
1563ae9334c0
hex37ee75a2d0

240223888080 has 320 divisors, whose sum is σ = 931780362240. Its totient is φ = 56357337600.

The previous prime is 240223888067. The next prime is 240223888087. The reversal of 240223888080 is 80888322042.

It is a happy number.

240223888080 is a `hidden beast` number, since 2 + 402 + 238 + 8 + 8 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240223888087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573489 + ... + 899631.

It is an arithmetic number, because the mean of its divisors is an integer number (2911813632).

Almost surely, 2240223888080 is an apocalyptic number.

240223888080 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 240223888080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465890181120).

240223888080 is an abundant number, since it is smaller than the sum of its proper divisors (691556474160).

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

240223888080 is a wasteful number, since it uses less digits than its factorization.

240223888080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326207 (or 326195 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 240223888080 in words is "two hundred forty billion, two hundred twenty-three million, eight hundred eighty-eight thousand, eighty".