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223875408 = 2436721039
BaseRepresentation
bin11010101100000…
…01000101010000
3120121021001022210
431112001011100
5424303003113
634114232120
75355623661
oct1526010520
9517231283
10223875408
1110540a9a9
1262b85640
13374c6673
1421a39368
15149c36c3
hexd581150

223875408 has 60 divisors (see below), whose sum is σ = 587670720. Its totient is φ = 73440576.

The previous prime is 223875403. The next prime is 223875433. The reversal of 223875408 is 804578322.

223875408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223875401) 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, 214953 + ... + 215991.

It is an arithmetic number, because the mean of its divisors is an integer number (9794512).

Almost surely, 2223875408 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 223875408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293835360).

223875408 is an abundant number, since it is smaller than the sum of its proper divisors (363795312).

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

223875408 is a wasteful number, since it uses less digits than its factorization.

223875408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 223875408 is about 14962.4666415668. The cubic root of 223875408 is about 607.2051738811.

The spelling of 223875408 in words is "two hundred twenty-three million, eight hundred seventy-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1039 1072 1608 2078 3117 3216 4156 4489 6234 8312 8978 12468 13467 16624 17956 24936 26934 35912 49872 53868 69613 71824 107736 139226 208839 215472 278452 417678 556904 835356 1113808 1670712 3341424 4664071 9328142 13992213 18656284 27984426 37312568 55968852 74625136 111937704 223875408