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229860087552 = 2833533891613
BaseRepresentation
bin1101011000010010111…
…0101001011100000000
3210222022100022022002000
43112010232221130000
512231223140300202
6253332443224000
722415101335564
oct3260456513400
9728270268060
10229860087552
1189535032a07
123866b818000
13188a2707a34
14b1a7b096a4
155ea4b6291c
hex3584ba9700

229860087552 has 288 divisors, whose sum is σ = 694772769600. Its totient is φ = 74934632448.

The previous prime is 229860087529. The next prime is 229860087553. The reversal of 229860087552 is 255780068922.

It is a happy number.

229860087552 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 6 + 0 + 0 + 87 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229860087553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142503898 + ... + 142505510.

It is an arithmetic number, because the mean of its divisors is an integer number (2412405450).

Almost surely, 2229860087552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229860087552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347386384800).

229860087552 is an abundant number, since it is smaller than the sum of its proper divisors (464912682048).

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

229860087552 is a wasteful number, since it uses less digits than its factorization.

229860087552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 229860087552 in words is "two hundred twenty-nine billion, eight hundred sixty million, eighty-seven thousand, five hundred fifty-two".