Search a number
-
+
223220032 = 267498259
BaseRepresentation
bin11010100111000…
…01000101000000
3120120000202022121
431103201011000
5424121020112
634052214024
75350224160
oct1523410500
9516022277
10223220032
11105002572
126290a314
1337327279
14219085a0
15148e4407
hexd4e1140

223220032 has 28 divisors (see below), whose sum is σ = 506232160. Its totient is φ = 95665536.

The previous prime is 223220027. The next prime is 223220141. The reversal of 223220032 is 230022322.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×2232200323 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 223219988 and 223220015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 248682 + ... + 249577.

It is an arithmetic number, because the mean of its divisors is an integer number (18079720).

Almost surely, 2223220032 is an apocalyptic number.

It is an amenable number.

223220032 is an abundant number, since it is smaller than the sum of its proper divisors (283012128).

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

223220032 is an equidigital number, since it uses as much as digits as its factorization.

223220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498278 (or 498268 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 223220032 is about 14940.5499229446. The cubic root of 223220032 is about 606.6120811224.

Adding to 223220032 its reverse (230022322), we get a palindrome (453242354).

The spelling of 223220032 in words is "two hundred twenty-three million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 498259 996518 1993036 3487813 3986072 6975626 7972144 13951252 15944288 27902504 31888576 55805008 111610016 223220032