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229463104 = 26131931429
BaseRepresentation
bin11011010110101…
…01010001000000
3120222202221012111
431223111101000
5432220304404
634434105104
75454255433
oct1553252100
9528687174
10229463104
11108587032
1264a1b194
1338701ab0
142269181a
1515229104
hexdad5440

229463104 has 56 divisors (see below), whose sum is σ = 493252760. Its totient is φ = 105283584.

The previous prime is 229463063. The next prime is 229463131. The reversal of 229463104 is 401364922.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9000000 + 220463104 = 3000^2 + 14848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159862 + ... + 161290.

It is an arithmetic number, because the mean of its divisors is an integer number (8808085).

Almost surely, 2229463104 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 229463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246626380).

229463104 is an abundant number, since it is smaller than the sum of its proper divisors (263789656).

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

229463104 is a wasteful number, since it uses less digits than its factorization.

229463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 229463104 is about 15148.0396091375. The cubic root of 229463104 is about 612.2154537805.

The spelling of 229463104 in words is "two hundred twenty-nine million, four hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 193 208 386 416 772 832 1429 1544 2509 2858 3088 5018 5716 6176 10036 11432 12352 18577 20072 22864 37154 40144 45728 74308 80288 91456 148616 160576 275797 297232 551594 594464 1103188 1188928 2206376 3585361 4412752 7170722 8825504 14341444 17651008 28682888 57365776 114731552 229463104