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223957440 = 2633572232
BaseRepresentation
bin11010101100101…
…01000111000000
3120121102012212000
431112111013000
5424313114230
634120104000
75356415100
oct1526250700
9517365760
10223957440
111054665a3
1263005000
1337524ac5
1421a5b200
15149dcb60
hexd5951c0

223957440 has 504 divisors, whose sum is σ = 960760080. Its totient is φ = 48964608.

The previous prime is 223957429. The next prime is 223957441. The reversal of 223957440 is 44759322.

223957440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223957395 and 223957404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223957441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9737269 + ... + 9737291.

It is an arithmetic number, because the mean of its divisors is an integer number (1906270).

Almost surely, 2223957440 is an apocalyptic number.

223957440 is a gapful number since it is divisible by the number (20) 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 223957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480380040).

223957440 is an abundant number, since it is smaller than the sum of its proper divisors (736802640).

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

223957440 is a wasteful number, since it uses less digits than its factorization.

223957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 223957440 is about 14965.2076497455. The cubic root of 223957440 is about 607.2793284785.

The spelling of 223957440 in words is "two hundred twenty-three million, nine hundred fifty-seven thousand, four hundred forty".