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229498048 = 26132367179
BaseRepresentation
bin11011010110111…
…01110011000000
3120222211201010201
431223131303000
5432222414143
634434534544
75454462343
oct1553356300
9528751121
10229498048
1110860030a
1264a37454
1338714980
14226a045a
151523464d
hexdaddcc0

229498048 has 112 divisors (see below), whose sum is σ = 522305280. Its totient is φ = 99247104.

The previous prime is 229498021. The next prime is 229498051. The reversal of 229498048 is 840894922.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 229497989 and 229498007.

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, 1282023 + ... + 1282201.

It is an arithmetic number, because the mean of its divisors is an integer number (4663440).

Almost surely, 2229498048 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 229498048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261152640).

229498048 is an abundant number, since it is smaller than the sum of its proper divisors (292807232).

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

229498048 is a wasteful number, since it uses less digits than its factorization.

229498048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 229498048 is about 15149.1929818060. The cubic root of 229498048 is about 612.2465294677.

The spelling of 229498048 in words is "two hundred twenty-nine million, four hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 67 92 104 134 179 184 208 268 299 358 368 416 536 598 716 736 832 871 1072 1196 1432 1472 1541 1742 2144 2327 2392 2864 3082 3484 4117 4288 4654 4784 5728 6164 6968 8234 9308 9568 11456 11993 12328 13936 16468 18616 19136 20033 23986 24656 27872 32936 37232 40066 47972 49312 53521 55744 65872 74464 80132 95944 98624 107042 131744 148928 155909 160264 191888 214084 263488 275839 311818 320528 383776 428168 551678 623636 641056 767552 856336 1103356 1247272 1282112 1712672 2206712 2494544 3425344 3585907 4413424 4989088 7171814 8826848 9978176 14343628 17653696 28687256 57374512 114749024 229498048