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224897064 = 23372312199
BaseRepresentation
bin11010110011110…
…10100000101000
3120200011221202220
431121322200220
5430033201224
634152154040
75400410400
oct1531724050
9520157686
10224897064
11105a48547
1263398920
13377936b2
1421c23800
1514b26279
hexd67a828

224897064 has 144 divisors (see below), whose sum is σ = 679212000. Its totient is φ = 61871040.

The previous prime is 224897047. The next prime is 224897077. The reversal of 224897064 is 460798422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1130037 + ... + 1130235.

It is an arithmetic number, because the mean of its divisors is an integer number (4716750).

Almost surely, 2224897064 is an apocalyptic number.

224897064 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 224897064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339606000).

224897064 is an abundant number, since it is smaller than the sum of its proper divisors (454314936).

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

224897064 is a wasteful number, since it uses less digits than its factorization.

224897064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 224897064 is about 14996.5684074724. The cubic root of 224897064 is about 608.1274331804.

The spelling of 224897064 in words is "two hundred twenty-four million, eight hundred ninety-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 199 217 248 294 372 392 398 434 588 597 651 744 796 868 961 1176 1194 1302 1393 1519 1592 1736 1922 2388 2604 2786 2883 3038 3844 4179 4557 4776 5208 5572 5766 6076 6169 6727 7688 8358 9114 9751 11144 11532 12152 12338 13454 16716 18228 18507 19502 20181 23064 24676 26908 29253 33432 36456 37014 39004 40362 43183 47089 49352 53816 58506 74028 78008 80724 86366 94178 117012 129549 141267 148056 161448 172732 188356 191239 234024 259098 282534 302281 345464 376712 382478 518196 565068 573717 604562 764956 906843 1036392 1130136 1147434 1209124 1338673 1529912 1813686 2294868 2418248 2677346 3627372 4016019 4589736 5354692 7254744 8032038 9370711 10709384 16064076 18741422 28112133 32128152 37482844 56224266 74965688 112448532 224897064