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229197906 = 232737211233
BaseRepresentation
bin11011010100101…
…00100001010010
3120222021110102100
431222110201102
5432133313111
634424301230
75452102320
oct1552244122
9528243370
10229197906
11108415863
1264911816
133863b182
1422622d10
15151c5756
hexda94852

229197906 has 96 divisors (see below), whose sum is σ = 588152448. Its totient is φ = 63141120.

The previous prime is 229197853. The next prime is 229197907. The reversal of 229197906 is 609791922.

229197906 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2291979062 = 105063360229569672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (229197907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983566 + ... + 983798.

It is an arithmetic number, because the mean of its divisors is an integer number (6126588).

Almost surely, 2229197906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229197906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294076224).

229197906 is an abundant number, since it is smaller than the sum of its proper divisors (358954542).

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

229197906 is a wasteful number, since it uses less digits than its factorization.

229197906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 229197906 is about 15139.2835365482. The cubic root of 229197906 is about 611.9795103995.

It can be divided in two parts, 229 and 197906, that added together give a triangular number (198135 = T629).

The spelling of 229197906 in words is "two hundred twenty-nine million, one hundred ninety-seven thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 211 222 233 259 333 422 466 518 633 666 699 777 1266 1398 1477 1554 1631 1899 2097 2331 2954 3262 3798 4194 4431 4662 4893 7807 8621 8862 9786 13293 14679 15614 17242 23421 25863 26586 29358 46842 49163 51726 54649 60347 70263 77589 98326 109298 120694 140526 147489 155178 163947 181041 294978 327894 344141 362082 442467 491841 543123 688282 884934 983682 1032423 1086246 1819031 2064846 3097269 3638062 5457093 6194538 10914186 12733217 16371279 25466434 32742558 38199651 76399302 114598953 229197906