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229703000832 = 2832163611641
BaseRepresentation
bin1101010111101101011…
…1011010001100000000
3210221220101201110121100
43111323113122030000
512230412432011312
6253305112254400
722411153202034
oct3257327321400
9727811643540
10229703000832
11894643a0378
12386270a1400
1318878cc7306
14b190cd81c4
155e95e835dc
hex357b5da300

229703000832 has 108 divisors (see below), whose sum is σ = 666354600184. Its totient is φ = 76097802240.

The previous prime is 229703000831. The next prime is 229703000869. The reversal of 229703000832 is 238000307922.

229703000832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (229703000831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69732 + ... + 681372.

Almost surely, 2229703000832 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 229703000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333177300092).

229703000832 is an abundant number, since it is smaller than the sum of its proper divisors (436651599352).

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

229703000832 is a wasteful number, since it uses less digits than its factorization.

229703000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611826 (or 611809 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 229703000832 in words is "two hundred twenty-nine billion, seven hundred three million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 256 288 326 384 489 576 652 768 978 1152 1304 1467 1956 2304 2608 2934 3912 5216 5868 7824 10432 11736 15648 20864 23472 31296 41728 46944 62592 93888 125184 187776 375552 611641 1223282 1834923 2446564 3669846 4893128 5504769 7339692 9786256 11009538 14679384 19572512 22019076 29358768 39145024 44038152 58717536 78290048 88076304 99697483 117435072 156580096 176152608 199394966 234870144 299092449 352305216 398789932 469740288 598184898 704610432 797579864 897277347 1196369796 1409220864 1595159728 1794554694 2392739592 3190319456 3589109388 4785479184 6380638912 7178218776 9570958368 12761277824 14356437552 19141916736 25522555648 28712875104 38283833472 57425750208 76567666944 114851500416 229703000832