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229540608 = 2833113019
BaseRepresentation
bin11011010111010…
…00001100000000
3120222220212112000
431223220030000
5432230244413
634435504000
75455030413
oct1553501400
9528825460
10229540608
1110862a290
1264a58000
133872b15b
14226b1b7a
1515242073
hexdae8300

229540608 has 144 divisors (see below), whose sum is σ = 740745600. Its totient is φ = 69534720.

The previous prime is 229540603. The next prime is 229540627. The reversal of 229540608 is 806045922.

It is a happy number.

229540608 is a `hidden beast` number, since 2 + 2 + 9 + 5 + 40 + 608 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (229540603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74523 + ... + 77541.

Almost surely, 2229540608 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 229540608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370372800).

229540608 is an abundant number, since it is smaller than the sum of its proper divisors (511204992).

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

229540608 is a wasteful number, since it uses less digits than its factorization.

229540608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 229540608 is about 15150.5976119756. The cubic root of 229540608 is about 612.2843738008.

The spelling of 229540608 in words is "two hundred twenty-nine million, five hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3019 3168 3456 4224 4752 6038 6336 6912 8448 9057 9504 12076 12672 18114 19008 24152 25344 27171 33209 36228 38016 48304 54342 66418 72456 76032 81513 96608 99627 108684 132836 144912 163026 193216 199254 217368 265672 289824 298881 326052 386432 398508 434736 531344 579648 597762 652104 772864 797016 869472 896643 1062688 1159296 1195524 1304208 1594032 1738944 1793286 2125376 2318592 2391048 2608416 3188064 3477888 3586572 4250752 4782096 5216832 6376128 6955776 7173144 8501504 9564192 10433664 12752256 14346288 19128384 20867328 25504512 28692576 38256768 57385152 76513536 114770304 229540608