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229106664 = 233337109263
BaseRepresentation
bin11011010011111…
…10001111101000
3120222002211021000
431221332033220
5432122403124
634422315000
75451242313
oct1551761750
9528084230
10229106664
11108363256
1264888a60
1338608797
14225db97a
15151a86c9
hexda7e3e8

229106664 has 128 divisors (see below), whose sum is σ = 662112000. Its totient is φ = 73343232.

The previous prime is 229106663. The next prime is 229106677. The reversal of 229106664 is 466601922.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229106663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 870997 + ... + 871259.

It is an arithmetic number, because the mean of its divisors is an integer number (5172750).

Almost surely, 2229106664 is an apocalyptic number.

229106664 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 229106664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331056000).

229106664 is an abundant number, since it is smaller than the sum of its proper divisors (433005336).

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

229106664 is a wasteful number, since it uses less digits than its factorization.

229106664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

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

The square root of 229106664 is about 15136.2698178911. The cubic root of 229106664 is about 611.8982914409.

The spelling of 229106664 in words is "two hundred twenty-nine million, one hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 109 111 148 216 218 222 263 296 327 333 436 444 526 654 666 789 872 888 981 999 1052 1308 1332 1578 1962 1998 2104 2367 2616 2664 2943 3156 3924 3996 4033 4734 5886 6312 7101 7848 7992 8066 9468 9731 11772 12099 14202 16132 18936 19462 23544 24198 28404 28667 29193 32264 36297 38924 48396 56808 57334 58386 72594 77848 86001 87579 96792 108891 114668 116772 145188 172002 175158 217782 229336 233544 258003 262737 290376 344004 350316 435564 516006 525474 688008 700632 774009 871128 1032012 1050948 1060679 1548018 2064024 2101896 2121358 3096036 3182037 4242716 6192072 6364074 8485432 9546111 12728148 19092222 25456296 28638333 38184444 57276666 76368888 114553332 229106664