Search a number
-
+
229352864364 = 22351323898867
BaseRepresentation
bin1101010110011001111…
…1101111101001101100
3210220222222212200200000
43111212133233221230
512224203313124424
6253210243504300
722366402116021
oct3254637575154
9726888780600
10229352864364
11892a4792698
1238549988090
13188215c3c80
14b15a5d3548
155e7536e3c9
hex35667efa6c

229352864364 has 288 divisors, whose sum is σ = 683292879360. Its totient is φ = 66735871488.

The previous prime is 229352864347. The next prime is 229352864383. The reversal of 229352864364 is 463468253922.

229352864364 is a `hidden beast` number, since 2 + 29 + 3 + 528 + 64 + 36 + 4 = 666.

It is a super-2 number, since 2×2293528643642 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 229352864364.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25861459 + ... + 25870325.

It is an arithmetic number, because the mean of its divisors is an integer number (2372544720).

Almost surely, 2229352864364 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 229352864364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341646439680).

229352864364 is an abundant number, since it is smaller than the sum of its proper divisors (453940014996).

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

229352864364 is a wasteful number, since it uses less digits than its factorization.

229352864364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9011 (or 8997 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 229352864364 in words is "two hundred twenty-nine billion, three hundred fifty-two million, eight hundred sixty-four thousand, three hundred sixty-four".