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228321130752 = 2834111325923
BaseRepresentation
bin1101010010100011111…
…1111111100100000000
3210211100002111012020000
43110220333333210000
512220100202141002
6252520030120000
722332003406221
oct3245077774400
9724302435200
10228321130752
1188915364990
1238300350000
13186b8925a00
14b09d585248
155e149c061c
hex3528fff900

228321130752 has 540 divisors, whose sum is σ = 804365909424. Its totient is φ = 63855267840.

The previous prime is 228321130717. The next prime is 228321130759. The reversal of 228321130752 is 257031123822.

228321130752 is a `hidden beast` number, since 2 + 28 + 321 + 1 + 307 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (228321130759) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38545263 + ... + 38551185.

Almost surely, 2228321130752 is an apocalyptic number.

228321130752 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 228321130752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402182954712).

228321130752 is an abundant number, since it is smaller than the sum of its proper divisors (576044778672).

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

228321130752 is a wasteful number, since it uses less digits than its factorization.

228321130752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5988 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 228321130752 in words is "two hundred twenty-eight billion, three hundred twenty-one million, one hundred thirty thousand, seven hundred fifty-two".