Search a number
-
+
229559223600 = 243252719471012
BaseRepresentation
bin1101010111001011001…
…0111100010100110000
3210221112101011211022200
43111302302330110300
512230114130123400
6253242534503200
722404456130320
oct3256262742460
9727471154280
10229559223600
11893a0219413
12385a6b04b00
1318855296925
14b179b8d280
155e88532b00
hex3572cbc530

229559223600 has 1080 divisors, whose sum is σ = 988534110720. Its totient is φ = 48169728000.

The previous prime is 229559223599. The next prime is 229559223601. The reversal of 229559223600 is 6322955922.

229559223600 is a `hidden beast` number, since 2 + 29 + 5 + 592 + 2 + 36 + 0 + 0 = 666.

229559223600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229559223599) and next prime (229559223601).

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 (229559223601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2272863550 + ... + 2272863650.

Almost surely, 2229559223600 is an apocalyptic number.

229559223600 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 229559223600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494267055360).

229559223600 is an abundant number, since it is smaller than the sum of its proper divisors (758974887120).

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

229559223600 is a wasteful number, since it uses less digits than its factorization.

229559223600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 229559223600 in words is "two hundred twenty-nine billion, five hundred fifty-nine million, two hundred twenty-three thousand, six hundred".