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229953164 = 227314361101
BaseRepresentation
bin11011011010011…
…00111010001100
3121000200211102212
431231030322030
5432332000124
634452405552
75461366250
oct1555147214
9530624385
10229953164
11108891241
12650168b8
1338843b7c
142277c260
15152c440e
hexdb4ce8c

229953164 has 96 divisors (see below), whose sum is σ = 498634752. Its totient is φ = 90720000.

The previous prime is 229953161. The next prime is 229953193. The reversal of 229953164 is 461359922.

229953164 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 2×2299531642 = 105756915267221792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (229953161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2276714 + ... + 2276814.

It is an arithmetic number, because the mean of its divisors is an integer number (5194112).

Almost surely, 2229953164 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 229953164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249317376).

229953164 is an abundant number, since it is smaller than the sum of its proper divisors (268681588).

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

229953164 is a wasteful number, since it uses less digits than its factorization.

229953164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its digits is 116640, while the sum is 41.

The square root of 229953164 is about 15164.2066722925. The cubic root of 229953164 is about 612.6509761936.

The spelling of 229953164 in words is "two hundred twenty-nine million, nine hundred fifty-three thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 43 61 62 86 101 122 124 172 202 217 244 301 404 427 434 602 707 854 868 1204 1333 1414 1708 1891 2623 2666 2828 3131 3782 4343 5246 5332 6161 6262 7564 8686 9331 10492 12322 12524 13237 17372 18361 18662 21917 24644 26474 30401 36722 37324 43127 43834 52948 60802 73444 81313 86254 87668 121604 134633 162626 172508 190991 264923 269266 325252 381982 529846 538532 569191 763964 942431 1059692 1138382 1336937 1854461 1884862 2276764 2673874 3708922 3769724 5347748 7417844 8212613 16425226 32850452 57488291 114976582 229953164