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229347396096 = 293721331973
BaseRepresentation
bin1101010110011000101…
…0111000101000000000
3210220222121120212121120
43111212022320220000
512224200413133341
6253205530352240
722366304462400
oct3254612705000
9726877525546
10229347396096
11892a1698265
1238547b8b680
131882042b000
14b1599ac800
155e74b3e066
hex35662b8a00

229347396096 has 960 divisors, whose sum is σ = 821578665600. Its totient is φ = 56518705152.

The previous prime is 229347396079. The next prime is 229347396097. The reversal of 229347396096 is 690693743922.

It is not an unprimeable number, because it can be changed into a prime (229347396097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3141745116 + ... + 3141745188.

It is an arithmetic number, because the mean of its divisors is an integer number (855811110).

Almost surely, 2229347396096 is an apocalyptic number.

229347396096 is a gapful number since it is divisible by the number (26) 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 229347396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410789332800).

229347396096 is an abundant number, since it is smaller than the sum of its proper divisors (592231269504).

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

229347396096 is an equidigital number, since it uses as much as digits as its factorization.

229347396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 60.

The spelling of 229347396096 in words is "two hundred twenty-nine billion, three hundred forty-seven million, three hundred ninety-six thousand, ninety-six".