Search a number
-
+
229324320 = 25325712243
BaseRepresentation
bin11011010101100…
…11011000100000
3120222111212211100
431222303120200
5432201334240
634431114400
75453140011
oct1552633040
9528455740
10229324320
111084a1835
1264972a00
1338683884
1422657008
15151ece30
hexdab3620

229324320 has 144 divisors (see below), whose sum is σ = 793945152. Its totient is φ = 60264960.

The previous prime is 229324313. The next prime is 229324321. The reversal of 229324320 is 23423922.

229324320 is a `hidden beast` number, since 229 + 3 + 2 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (229324321) 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 23 ways as a sum of consecutive naturals, for example, 101119 + ... + 103361.

It is an arithmetic number, because the mean of its divisors is an integer number (5513508).

Almost surely, 2229324320 is an apocalyptic number.

229324320 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 229324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396972576).

229324320 is an abundant number, since it is smaller than the sum of its proper divisors (564620832).

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

229324320 is a wasteful number, since it uses less digits than its factorization.

229324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 229324320 is about 15143.4579934703. The cubic root of 229324320 is about 612.0920020599.

The spelling of 229324320 in words is "two hundred twenty-nine million, three hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 71 72 80 90 96 120 142 144 160 180 213 240 284 288 355 360 426 480 568 639 710 720 852 1065 1136 1278 1420 1440 1704 2130 2243 2272 2556 2840 3195 3408 4260 4486 5112 5680 6390 6729 6816 8520 8972 10224 11215 11360 12780 13458 17040 17944 20187 20448 22430 25560 26916 33645 34080 35888 40374 44860 51120 53832 67290 71776 80748 89720 100935 102240 107664 134580 159253 161496 179440 201870 215328 269160 318506 322992 358880 403740 477759 538320 637012 645984 796265 807480 955518 1076640 1274024 1433277 1592530 1614960 1911036 2388795 2548048 2866554 3185060 3229920 3822072 4777590 5096096 5733108 6370120 7166385 7644144 9555180 11466216 12740240 14332770 15288288 19110360 22932432 25480480 28665540 38220720 45864864 57331080 76441440 114662160 229324320