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224257572 = 223471189101
BaseRepresentation
bin11010101110111…
…10011000100100
3120121222110120000
431113132120210
5424402220242
634130341300
75362105110
oct1527363044
9517873500
10224257572
11105651040
126312a830
13375cb5b6
1421ad8740
1514a4ba4c
hexd5de624

224257572 has 240 divisors, whose sum is σ = 746444160. Its totient is φ = 57024000.

The previous prime is 224257571. The next prime is 224257573. The reversal of 224257572 is 275752422.

224257572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224257571) and next prime (224257573).

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

Its product of digits (78400) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (224257571) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2220322 + ... + 2220422.

It is an arithmetic number, because the mean of its divisors is an integer number (3110184).

Almost surely, 2224257572 is an apocalyptic number.

224257572 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 224257572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373222080).

224257572 is an abundant number, since it is smaller than the sum of its proper divisors (522186588).

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

224257572 is a wasteful number, since it uses less digits than its factorization.

224257572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 213 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 224257572 is about 14975.2319514590. The cubic root of 224257572 is about 607.5504850591.

The spelling of 224257572 in words is "two hundred twenty-four million, two hundred fifty-seven thousand, five hundred seventy-two".