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224808 = 233171929
BaseRepresentation
bin110110111000101000
3102102101020
4312320220
524143213
64452440
71624263
oct667050
9372336
10224808
111439a1
12aa120
137b42c
145bcda
1546923
hex36e28

224808 has 64 divisors (see below), whose sum is σ = 648000. Its totient is φ = 64512.

The previous prime is 224797. The next prime is 224813. The reversal of 224808 is 808422.

224808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7738 + ... + 7766.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2224808 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 224808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324000).

224808 is an abundant number, since it is smaller than the sum of its proper divisors (423192).

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

224808 is a wasteful number, since it uses less digits than its factorization.

224808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 224808 is about 474.1392200609. The cubic root of 224808 is about 60.8047145467.

The spelling of 224808 in words is "two hundred twenty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 29 34 38 51 57 58 68 76 87 102 114 116 136 152 174 204 228 232 323 348 408 456 493 551 646 696 969 986 1102 1292 1479 1653 1938 1972 2204 2584 2958 3306 3876 3944 4408 5916 6612 7752 9367 11832 13224 18734 28101 37468 56202 74936 112404 224808