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229096224 = 25327195981
BaseRepresentation
bin11011010011110…
…11101100100000
3120222002021221100
431221323230200
5432122034344
634422154400
75451200010
oct1551735440
9528067840
10229096224
11108356425
1264882a00
1338603ac6
14225d7c40
15151a5569
hexda7bb20

229096224 has 144 divisors (see below), whose sum is σ = 783881280. Its totient is φ = 62000640.

The previous prime is 229096223. The next prime is 229096237. The reversal of 229096224 is 422690922.

It is a happy number.

229096224 is a `hidden beast` number, since 2 + 29 + 0 + 9 + 622 + 4 = 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 (229096223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35314 + ... + 41294.

It is an arithmetic number, because the mean of its divisors is an integer number (5443620).

Almost surely, 2229096224 is an apocalyptic number.

229096224 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 229096224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391940640).

229096224 is an abundant number, since it is smaller than the sum of its proper divisors (554785056).

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

229096224 is a wasteful number, since it uses less digits than its factorization.

229096224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 229096224 is about 15135.9249469598. The cubic root of 229096224 is about 611.8889969125. Note that the first 3 decimals are identical.

The spelling of 229096224 in words is "two hundred twenty-nine million, ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 5981 6384 9576 11962 12768 17943 19152 23924 35886 38304 41867 47848 53829 71772 83734 95696 107658 113639 125601 143544 167468 191392 215316 227278 251202 287088 334936 340917 376803 430632 454556 502404 574176 669872 681834 753606 795473 861264 909112 1004808 1022751 1339744 1363668 1507212 1590946 1722528 1818224 2009616 2045502 2386419 2727336 3014424 3181892 3636448 4019232 4091004 4772838 5454672 6028848 6363784 7159257 8182008 9545676 10909344 12057696 12727568 14318514 16364016 19091352 25455136 28637028 32728032 38182704 57274056 76365408 114548112 229096224