Search a number
-
+
229738416 = 243411071091
BaseRepresentation
bin11011011000110…
…00011110110000
3121000021220212020
431230120132300
5432303112131
634444031440
75456513205
oct1554303660
9530256766
10229738416
11108754966
1264b32580
133879a1bb
1422723cac
1515280996
hexdb187b0

229738416 has 80 divisors (see below), whose sum is σ = 614210688. Its totient is φ = 73945600.

The previous prime is 229738387. The next prime is 229738441. The reversal of 229738416 is 614837922.

229738416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 210031 + ... + 211121.

Almost surely, 2229738416 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 229738416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344).

229738416 is an abundant number, since it is smaller than the sum of its proper divisors (384472272).

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

229738416 is a wasteful number, since it uses less digits than its factorization.

229738416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1244 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 229738416 is about 15157.1242655063. The cubic root of 229738416 is about 612.4602032174.

The spelling of 229738416 in words is "two hundred twenty-nine million, seven hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 107 123 164 214 246 321 328 428 492 642 656 856 984 1091 1284 1712 1968 2182 2568 3273 4364 4387 5136 6546 8728 8774 13092 13161 17456 17548 26184 26322 35096 44731 52368 52644 70192 89462 105288 116737 134193 178924 210576 233474 268386 350211 357848 466948 536772 700422 715696 933896 1073544 1400844 1867792 2147088 2801688 4786217 5603376 9572434 14358651 19144868 28717302 38289736 57434604 76579472 114869208 229738416