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229345536 = 2837371153
BaseRepresentation
bin11011010101110…
…00100100000000
3120222112221221010
431222320210000
5432203024121
634431400520
75453255610
oct1552704400
9528487833
10229345536
11108506772
1264983140
1338690424
1422660a40
1515204376
hexdab8900

229345536 has 144 divisors (see below), whose sum is σ = 717067904. Its totient is φ = 63700992.

The previous prime is 229345463. The next prime is 229345537. The reversal of 229345536 is 635543922.

It is a junction number, because it is equal to n+sod(n) for n = 229345494 and 229345503.

It is not an unprimeable number, because it can be changed into a prime (229345537) 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, 198336 + ... + 199488.

Almost surely, 2229345536 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 229345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358533952).

229345536 is an abundant number, since it is smaller than the sum of its proper divisors (487722368).

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

229345536 is a wasteful number, since it uses less digits than its factorization.

229345536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1202 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

The square root of 229345536 is about 15144.1584777762. The cubic root of 229345536 is about 612.1108774289.

The spelling of 229345536 in words is "two hundred twenty-nine million, three hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 518 592 672 768 777 888 896 1036 1153 1184 1344 1554 1776 1792 2072 2306 2368 2688 3108 3459 3552 4144 4612 4736 5376 6216 6918 7104 8071 8288 9224 9472 12432 13836 14208 16142 16576 18448 24213 24864 27672 28416 32284 33152 36896 42661 48426 49728 55344 64568 66304 73792 85322 96852 99456 110688 127983 129136 147584 170644 193704 198912 221376 255966 258272 295168 298627 341288 387408 442752 511932 516544 597254 682576 774816 885504 895881 1023864 1033088 1194508 1365152 1549632 1791762 2047728 2066176 2389016 2730304 3099264 3583524 4095456 4778032 5460608 6198528 7167048 8190912 9556064 10921216 14334096 16381824 19112128 28668192 32763648 38224256 57336384 76448512 114672768 229345536