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229963504896 = 2837431953
BaseRepresentation
bin1101011000101011100…
…1001001110100000000
3210222120112220110000000
43112022321021310000
512231431124124041
6253351020000000
722420465353066
oct3261271116400
9728515813000
10229963504896
1189588448994
123869a390000
13188bac76b28
14b1b774a036
155eadc8ebb6
hex358ae49d00

229963504896 has 288 divisors, whose sum is σ = 690759498240. Its totient is φ = 76396400640.

The previous prime is 229963504879. The next prime is 229963504907. The reversal of 229963504896 is 698405369922.

229963504896 is a `hidden beast` number, since 2 + 2 + 99 + 63 + 5 + 0 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241304356 + ... + 241305308.

It is an arithmetic number, because the mean of its divisors is an integer number (2398470480).

Almost surely, 2229963504896 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 229963504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345379749120).

229963504896 is an abundant number, since it is smaller than the sum of its proper divisors (460795993344).

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

229963504896 is an frugal number, since it uses more digits than its factorization.

229963504896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 229963504896 in words is "two hundred twenty-nine billion, nine hundred sixty-three million, five hundred four thousand, eight hundred ninety-six".