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223401024 = 26337112373
BaseRepresentation
bin11010101000011…
…01010001000000
3120120100221121000
431110031101000
5424142313044
634100132000
75351606640
oct1524152100
9516327530
10223401024
11105116550
1262997000
133738b772
1421954520
151492cd69
hexd50d440

223401024 has 448 divisors, whose sum is σ = 866119680. Its totient is φ = 54743040.

The previous prime is 223400929. The next prime is 223401037. The reversal of 223401024 is 420104322.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 223400988 and 223401006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3060252 + ... + 3060324.

Almost surely, 2223401024 is an apocalyptic number.

223401024 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 223401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433059840).

223401024 is an abundant number, since it is smaller than the sum of its proper divisors (642718656).

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

223401024 is a wasteful number, since it uses less digits than its factorization.

223401024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 223401024 is about 14946.6057685349. The cubic root of 223401024 is about 606.7759885641.

Adding to 223401024 its reverse (420104322), we get a palindrome (643505346).

The spelling of 223401024 in words is "two hundred twenty-three million, four hundred one thousand, twenty-four".