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229315769280 = 26345132931757
BaseRepresentation
bin1101010110010001001…
…0001111001111000000
3210220220102002001210000
43111210102033033000
512224114314104110
6253202440440000
722365441610053
oct3254422171700
9726812061700
10229315769280
11892858565a4
1238539479000
1318816a06710
14b1556d8a9a
155e71e931c0
hex356448f3c0

229315769280 has 1120 divisors, whose sum is σ = 939309719040. Its totient is φ = 52672757760.

The previous prime is 229315769269. The next prime is 229315769369. The reversal of 229315769280 is 82967513922.

229315769280 is a `hidden beast` number, since 2 + 293 + 1 + 5 + 76 + 9 + 280 = 666.

229315769280 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 302926662 + ... + 302927418.

It is an arithmetic number, because the mean of its divisors is an integer number (838669392).

Almost surely, 2229315769280 is an apocalyptic number.

229315769280 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 229315769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469654859520).

229315769280 is an abundant number, since it is smaller than the sum of its proper divisors (709993949760).

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

229315769280 is a wasteful number, since it uses less digits than its factorization.

229315769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 229315769280 in words is "two hundred twenty-nine billion, three hundred fifteen million, seven hundred sixty-nine thousand, two hundred eighty".