Search a number
-
+
229389017472 = 27331771127433
BaseRepresentation
bin1101010110100010100…
…1101010000110000000
3210221002111220110102000
43111220221222012000
512224242042024342
6253214014424000
722400321322456
oct3255051520600
9727074813360
10229389017472
1189313135a9a
1238559b02000
1318828c41844
14b1613249d6
155e7861144c
hex3568a6a180

229389017472 has 512 divisors, whose sum is σ = 734352998400. Its totient is φ = 70230343680.

The previous prime is 229389017467. The next prime is 229389017479. The reversal of 229389017472 is 274710983922.

It is a happy number.

229389017472 is a `hidden beast` number, since 2 + 2 + 93 + 89 + 0 + 1 + 7 + 472 = 666.

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 (229389017479) 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, 529766568 + ... + 529767000.

It is an arithmetic number, because the mean of its divisors is an integer number (1434283200).

Almost surely, 2229389017472 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 229389017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367176499200).

229389017472 is an abundant number, since it is smaller than the sum of its proper divisors (504963980928).

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

229389017472 is a wasteful number, since it uses less digits than its factorization.

229389017472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 229389017472 in words is "two hundred twenty-nine billion, three hundred eighty-nine million, seventeen thousand, four hundred seventy-two".