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223214112 = 25321170459
BaseRepresentation
bin11010100110111…
…11101000100000
3120120000110012100
431103133220200
5424120322422
634052130400
75350201002
oct1523375040
9516013170
10223214112
11104aa9080
1262906a00
1337324674
1421906372
15148e27ac
hexd4dfa20

223214112 has 72 divisors (see below), whose sum is σ = 692480880. Its totient is φ = 67639680.

The previous prime is 223214107. The next prime is 223214119. The reversal of 223214112 is 211412322.

It is a happy number.

223214112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2232141123 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (223214119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32062 + ... + 38397.

It is an arithmetic number, because the mean of its divisors is an integer number (9617790).

Almost surely, 2223214112 is an apocalyptic number.

223214112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

223214112 is an abundant number, since it is smaller than the sum of its proper divisors (469266768).

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

223214112 is a wasteful number, since it uses less digits than its factorization.

223214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70486 (or 70475 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 223214112 is about 14940.3518030868. The cubic root of 223214112 is about 606.6067184387.

Adding to 223214112 its reverse (211412322), we get a palindrome (434626434).

The spelling of 223214112 in words is "two hundred twenty-three million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 70459 140918 211377 281836 422754 563672 634131 775049 845508 1127344 1268262 1550098 1691016 2254688 2325147 2536524 3100196 3382032 4650294 5073048 6200392 6764064 6975441 9300588 10146096 12400784 13950882 18601176 20292192 24801568 27901764 37202352 55803528 74404704 111607056 223214112