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229839288008 = 231121928112
BaseRepresentation
bin1101011000001101111…
…1010011011011001000
3210222020220011120110112
43112003133103123020
512231202324204013
6253330421333452
722414426466531
oct3260337233310
9728226146415
10229839288008
1189524316a00
1238664867288
131889b304705
14b1a5053688
155ea2e04ba8
hex35837d36c8

229839288008 has 108 divisors (see below), whose sum is σ = 500547640635. Its totient is φ = 98851816800.

The previous prime is 229839288001. The next prime is 229839288031. The reversal of 229839288008 is 800882938922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 114919644004 + 114919644004 = 338998^2 + 338998^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338998.

It is not an unprimeable number, because it can be changed into a prime (229839288001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 283401923 + ... + 283402733.

Almost surely, 2229839288008 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 229839288008

229839288008 is an abundant number, since it is smaller than the sum of its proper divisors (270708352627).

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

229839288008 is an equidigital number, since it uses as much as digits as its factorization.

229839288008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 59.

The spelling of 229839288008 in words is "two hundred twenty-nine billion, eight hundred thirty-nine million, two hundred eighty-eight thousand, eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 361 418 484 722 811 836 968 1444 1622 1672 2299 2888 3244 3971 4598 6488 7942 8921 9196 15409 15884 17842 18392 30818 31768 35684 43681 61636 71368 87362 98131 123272 169499 174724 196262 292771 338998 349448 392524 585542 657721 677996 785048 1171084 1315442 1355992 1864489 2342168 2630884 3220481 3728978 5261768 6440962 7234931 7457956 12496699 12881924 14469862 14915912 24993398 25763848 28939724 35425291 49986796 57879448 70850582 79584241 99973592 137463689 141701164 159168482 237437281 274927378 283402328 318336964 474874562 549854756 636673928 949749124 1099709512 1512100579 1899498248 2611810091 3024201158 5223620182 6048402316 10447240364 12096804632 20894480728 28729911001 57459822002 114919644004 229839288008