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229596680 = 23561731289
BaseRepresentation
bin11011010111101…
…01111000001000
3121000000201102202
431223311320020
5432234043210
634441015332
75455353035
oct1553657010
9530021382
10229596680
11108668425
1264a84548
133874a831
14226c838c
15152539a5
hexdaf5e08

229596680 has 64 divisors (see below), whose sum is σ = 532666800. Its totient is φ = 89026560.

The previous prime is 229596667. The next prime is 229596691. The reversal of 229596680 is 86695922.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 76282756 + 153313924 = 8734^2 + 12382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177476 + ... + 178764.

Almost surely, 2229596680 is an apocalyptic number.

229596680 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 229596680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266333400).

229596680 is an abundant number, since it is smaller than the sum of its proper divisors (303070120).

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

229596680 is a wasteful number, since it uses less digits than its factorization.

229596680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 229596680 is about 15152.4479870416. The cubic root of 229596680 is about 612.3342258575.

The spelling of 229596680 in words is "two hundred twenty-nine million, five hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 73 122 146 244 292 305 365 488 584 610 730 1220 1289 1460 2440 2578 2920 4453 5156 6445 8906 10312 12890 17812 22265 25780 35624 44530 51560 78629 89060 94097 157258 178120 188194 314516 376388 393145 470485 629032 752776 786290 940970 1572580 1881940 3145160 3763880 5739917 11479834 22959668 28699585 45919336 57399170 114798340 229596680