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223013504 = 277231237
BaseRepresentation
bin11010100101011…
…10101010000000
3120112122021000102
431102232222000
5424042413004
634043541532
75345404100
oct1522565200
9515567012
10223013504
1110498138a
126282a8a8
133728426c
1421893200
15148a311e
hexd4aea80

223013504 has 144 divisors (see below), whose sum is σ = 548463690. Its totient is φ = 89994240.

The previous prime is 223013501. The next prime is 223013519. The reversal of 223013504 is 405310322.

It is a happy number.

223013504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 147671104 + 75342400 = 12152^2 + 8680^2 .

It is not an unprimeable number, because it can be changed into a prime (223013501) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6027374 + ... + 6027410.

Almost surely, 2223013504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223013504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274231845).

223013504 is an abundant number, since it is smaller than the sum of its proper divisors (325450186).

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

223013504 is an equidigital number, since it uses as much as digits as its factorization.

223013504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 223013504 is about 14933.6366635860. The cubic root of 223013504 is about 606.4249398570.

Adding to 223013504 its reverse (405310322), we get a palindrome (628323826).

The spelling of 223013504 in words is "two hundred twenty-three million, thirteen thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 49 56 62 64 74 98 112 124 128 148 196 217 224 248 259 296 392 434 448 496 518 592 784 868 896 961 992 1036 1147 1184 1519 1568 1736 1813 1922 1984 2072 2294 2368 3038 3136 3472 3626 3844 3968 4144 4588 4736 6076 6272 6727 6944 7252 7688 8029 8288 9176 12152 13454 13888 14504 15376 16058 16576 18352 24304 26908 27776 29008 30752 32116 33152 35557 36704 47089 48608 53816 56203 58016 61504 64232 71114 73408 94178 97216 107632 112406 116032 123008 128464 142228 146816 188356 194432 215264 224812 232064 248899 256928 284456 376712 430528 449624 497798 513856 568912 753424 861056 899248 995596 1027712 1137824 1506848 1742293 1798496 1991192 2275648 3013696 3484586 3596992 3982384 4551296 6027392 6969172 7193984 7964768 13938344 15929536 27876688 31859072 55753376 111506752 223013504