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229736880 = 243252313873
BaseRepresentation
bin11011011000110…
…00000110110000
3121000021211202100
431230120012300
5432303040010
634444020400
75456505552
oct1554300660
9530254670
10229736880
1110875379a
1264b31700
13387995a9
14227234d2
15152802c0
hexdb181b0

229736880 has 120 divisors (see below), whose sum is σ = 805135968. Its totient is φ = 58595328.

The previous prime is 229736879. The next prime is 229736887. The reversal of 229736880 is 88637922.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (229736887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9624 + ... + 23496.

Almost surely, 2229736880 is an apocalyptic number.

229736880 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 229736880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402567984).

229736880 is an abundant number, since it is smaller than the sum of its proper divisors (575399088).

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

229736880 is a wasteful number, since it uses less digits than its factorization.

229736880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13915 (or 13906 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 229736880 is about 15157.0735961794. The cubic root of 229736880 is about 612.4588382723.

The spelling of 229736880 in words is "two hundred twenty-nine million, seven hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 13873 16560 27746 41619 55492 69365 83238 110984 124857 138730 166476 208095 221968 249714 277460 319079 332952 416190 499428 554920 624285 638158 665904 832380 957237 998856 1109840 1248570 1276316 1595395 1664760 1914474 1997712 2497140 2552632 2871711 3190790 3329520 3828948 4786185 4994280 5105264 5743422 6381580 7657896 9572370 9988560 11486844 12763160 14358555 15315792 19144740 22973688 25526320 28717110 38289480 45947376 57434220 76578960 114868440 229736880