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229915248 = 24329331499
BaseRepresentation
bin11011011010000…
…11101001110000
3121000121220102120
431231003221300
5432324241443
634451514240
75461150563
oct1555035160
9530556376
10229915248
11108865802
1264bb8980
133882c834
142276c4da
15152b8083
hexdb43a70

229915248 has 80 divisors (see below), whose sum is σ = 617520000. Its totient is φ = 73624320.

The previous prime is 229915243. The next prime is 229915321. The reversal of 229915248 is 842519922.

It is a happy number.

229915248 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2299152482 = 105722042525803008, which contains 22 as substring.

Its product of digits (103680) is a multiple of the sum of its prime divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229915241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460503 + ... + 461001.

It is an arithmetic number, because the mean of its divisors is an integer number (7719000).

Almost surely, 2229915248 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 229915248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308760000).

229915248 is an abundant number, since it is smaller than the sum of its proper divisors (387604752).

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

229915248 is a wasteful number, since it uses less digits than its factorization.

229915248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 229915248 is about 15162.9564399559. The cubic root of 229915248 is about 612.6173018708.

The spelling of 229915248 in words is "two hundred twenty-nine million, nine hundred fifteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 331 348 464 499 662 696 993 998 1324 1392 1497 1986 1996 2648 2994 3972 3992 5296 5988 7944 7984 9599 11976 14471 15888 19198 23952 28797 28942 38396 43413 57594 57884 76792 86826 115188 115768 153584 165169 173652 230376 231536 330338 347304 460752 495507 660676 694608 991014 1321352 1982028 2642704 3964056 4789901 7928112 9579802 14369703 19159604 28739406 38319208 57478812 76638416 114957624 229915248