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223847064 = 2334761809
BaseRepresentation
bin11010101011110…
…10001010011000
3120121012121110000
431111322022120
5424301101224
634113453000
75355445230
oct1525721230
9517177400
10223847064
111053a0681
1262b71160
13374b67ac
1421a2ccc0
15149ba0c9
hexd57a298

223847064 has 160 divisors (see below), whose sum is σ = 729194400. Its totient is φ = 62830080.

The previous prime is 223847059. The next prime is 223847069. The reversal of 223847064 is 460748322.

223847064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223847059) and next prime (223847069).

It is a super-2 number, since 2×2238470642 = 100215016122840192, which contains 22 as substring.

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 (223847069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 276292 + ... + 277100.

It is an arithmetic number, because the mean of its divisors is an integer number (4557465).

Almost surely, 2223847064 is an apocalyptic number.

223847064 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 223847064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364597200).

223847064 is an abundant number, since it is smaller than the sum of its proper divisors (505347336).

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

223847064 is a wasteful number, since it uses less digits than its factorization.

223847064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 223847064 is about 14961.5194415541. The cubic root of 223847064 is about 607.1795474996.

The spelling of 223847064 in words is "two hundred twenty-three million, eight hundred forty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 81 84 108 122 126 162 168 183 189 216 244 252 324 366 378 427 488 504 549 567 648 732 756 809 854 1098 1134 1281 1464 1512 1618 1647 1708 2196 2268 2427 2562 3236 3294 3416 3843 4392 4536 4854 4941 5124 5663 6472 6588 7281 7686 9708 9882 10248 11326 11529 13176 14562 15372 16989 19416 19764 21843 22652 23058 29124 30744 33978 34587 39528 43686 45304 46116 49349 50967 58248 65529 67956 69174 87372 92232 98698 101934 131058 135912 138348 148047 152901 174744 197396 203868 262116 276696 296094 305802 345443 394792 407736 444141 458703 524232 592188 611604 690886 888282 917406 1036329 1184376 1223208 1332423 1381772 1776564 1834812 2072658 2664846 2763544 3108987 3553128 3669624 3997269 4145316 5329692 6217974 7994538 8290632 9326961 10659384 12435948 15989076 18653922 24871896 27980883 31978152 37307844 55961766 74615688 111923532 223847064