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229914048 = 26371313159
BaseRepresentation
bin11011011010000…
…11010111000000
3121000121211210010
431231003113000
5432324222143
634451504520
75461144230
oct1555032700
9530554703
10229914048
11108864911
1264bb8140
133882c120
142276bcc0
15152b7a33
hexdb435c0

229914048 has 112 divisors (see below), whose sum is σ = 748751360. Its totient is φ = 60632064.

The previous prime is 229914043. The next prime is 229914071. The reversal of 229914048 is 840419922.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 229913997 and 229914015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229914043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10893 + ... + 24051.

It is an arithmetic number, because the mean of its divisors is an integer number (6685280).

Almost surely, 2229914048 is an apocalyptic number.

229914048 is a gapful number since it is divisible by the number (28) 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 229914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374375680).

229914048 is an abundant number, since it is smaller than the sum of its proper divisors (518837312).

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

229914048 is a wasteful number, since it uses less digits than its factorization.

229914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13194 (or 13184 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 229914048 is about 15162.9168697847. The cubic root of 229914048 is about 612.6162360548.

The spelling of 229914048 in words is "two hundred twenty-nine million, nine hundred fourteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 4368 5824 8736 13159 17472 26318 39477 52636 78954 92113 105272 157908 171067 184226 210544 276339 315816 342134 368452 421088 513201 552678 631632 684268 736904 842176 1026402 1105356 1197469 1263264 1368536 1473808 2052804 2210712 2394938 2526528 2737072 2947616 3592407 4105608 4421424 4789876 5474144 5895232 7184814 8211216 8842848 9579752 10948288 14369628 16422432 17685696 19159504 28739256 32844864 38319008 57478512 76638016 114957024 229914048