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229997376 = 26327229281
BaseRepresentation
bin11011011010101…
…11101101000000
3121000210002002100
431231113231000
5432334404001
634453350400
75461642200
oct1555275500
9530702070
10229997376
11108911484
1265038400
133885b02b
1422790400
15152d2586
hexdb57b40

229997376 has 252 divisors, whose sum is σ = 796145220. Its totient is φ = 63221760.

The previous prime is 229997371. The next prime is 229997387. The reversal of 229997376 is 673799922.

It can be written as a sum of positive squares in 2 ways, for example, as 138297600 + 91699776 = 11760^2 + 9576^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229997371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 818356 + ... + 818636.

Almost surely, 2229997376 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 229997376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398072610).

229997376 is an abundant number, since it is smaller than the sum of its proper divisors (566147844).

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

229997376 is a wasteful number, since it uses less digits than its factorization.

229997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 229997376 is about 15165.6643771382. The cubic root of 229997376 is about 612.6902375063.

The spelling of 229997376 in words is "two hundred twenty-nine million, nine hundred ninety-seven thousand, three hundred seventy-six".