Search a number
-
+
229596000 = 2535319253
BaseRepresentation
bin11011010111101…
…01101101100000
3121000000200111120
431223311231200
5432234033000
634441012240
75455351044
oct1553655540
9530020446
10229596000
11108667967
1264a84080
133874a42a
14226c8024
15152536a0
hexdaf5b60

229596000 has 288 divisors, whose sum is σ = 808805088. Its totient is φ = 56908800.

The previous prime is 229595917. The next prime is 229596007. The reversal of 229596000 is 695922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229596007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4331974 + ... + 4332026.

It is an arithmetic number, because the mean of its divisors is an integer number (2808351).

Almost surely, 2229596000 is an apocalyptic number.

229596000 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 229596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404402544).

229596000 is an abundant number, since it is smaller than the sum of its proper divisors (579209088).

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

229596000 is a wasteful number, since it uses less digits than its factorization.

229596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 229596000 is about 15152.4255484064. The cubic root of 229596000 is about 612.3336213371. Note that the first 3 decimals are identical.

The spelling of 229596000 in words is "two hundred twenty-nine million, five hundred ninety-six thousand".