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229349904 = 24373197227
BaseRepresentation
bin11011010101110…
…01101000010000
3120222120011220220
431222321220100
5432203144104
634431433040
75453304420
oct1552715020
9528504826
10229349904
11108509a83
1264985780
1338692404
1422662480
15152057d9
hexdab9a10

229349904 has 160 divisors (see below), whose sum is σ = 709287936. Its totient is φ = 62484480.

The previous prime is 229349903. The next prime is 229349927. The reversal of 229349904 is 409943922.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (229349903) 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 31 ways as a sum of consecutive naturals, for example, 1010239 + ... + 1010465.

Almost surely, 2229349904 is an apocalyptic number.

229349904 is a gapful number since it is divisible by the number (24) 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 229349904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354643968).

229349904 is an abundant number, since it is smaller than the sum of its proper divisors (479938032).

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

229349904 is a wasteful number, since it uses less digits than its factorization.

229349904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 229349904 is about 15144.3026911113. The cubic root of 229349904 is about 612.1147633898.

The spelling of 229349904 in words is "two hundred twenty-nine million, three hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 97 112 124 168 186 194 217 227 248 291 336 372 388 434 454 496 582 651 679 681 744 776 868 908 1164 1302 1358 1362 1488 1552 1589 1736 1816 2037 2328 2604 2716 2724 3007 3178 3472 3632 4074 4656 4767 5208 5432 5448 6014 6356 7037 8148 9021 9534 10416 10864 10896 12028 12712 14074 16296 18042 19068 21049 21111 22019 24056 25424 28148 32592 36084 38136 42098 42222 44038 48112 49259 56296 63147 66057 72168 76272 84196 84444 88076 98518 112592 126294 132114 144336 147777 154133 168392 168888 176152 197036 252588 264228 295554 308266 336784 337776 352304 394072 462399 505176 528456 591108 616532 682589 788144 924798 1010352 1056912 1182216 1233064 1365178 1849596 2047767 2364432 2466128 2730356 3699192 4095534 4778123 5460712 7398384 8191068 9556246 10921424 14334369 16382136 19112492 28668738 32764272 38224984 57337476 76449968 114674952 229349904