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223270432 = 25711313779
BaseRepresentation
bin11010100111011…
…01011000100000
3120120010022110021
431103231120200
5424124123212
634053243224
75350524130
oct1523553040
9516108407
10223270432
11105037420
1262933514
13373441a8
142191cac0
1514904307
hexd4ed620

223270432 has 192 divisors, whose sum is σ = 588349440. Its totient is φ = 80870400.

The previous prime is 223270409. The next prime is 223270441. The reversal of 223270432 is 234072322.

It is a super-3 number, since 3×2232704323 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223270397 and 223270406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2826169 + ... + 2826247.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 2223270432 is an apocalyptic number.

223270432 is a gapful number since it is divisible by the number (22) 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 223270432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294174720).

223270432 is an abundant number, since it is smaller than the sum of its proper divisors (365079008).

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

223270432 is a wasteful number, since it uses less digits than its factorization.

223270432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 223270432 is about 14942.2365126510. The cubic root of 223270432 is about 606.6577325631.

The spelling of 223270432 in words is "two hundred twenty-three million, two hundred seventy thousand, four hundred thirty-two".