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224897148 = 223471719307
BaseRepresentation
bin11010110011110…
…10100001111100
3120200011221220000
431121322201330
5430033202043
634152154300
75400410550
oct1531724174
9520157800
10224897148
11105a48613
1263398990
1337793748
1421c23860
1514b262d3
hexd67a87c

224897148 has 240 divisors, whose sum is σ = 751322880. Its totient is φ = 57106944.

The previous prime is 224897147. The next prime is 224897161. The reversal of 224897148 is 841798422.

224897148 is a `hidden beast` number, since 22 + 489 + 7 + 148 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224897147) 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, 732411 + ... + 732717.

It is an arithmetic number, because the mean of its divisors is an integer number (3130512).

Almost surely, 2224897148 is an apocalyptic number.

224897148 is a gapful number since it is divisible by the number (28) 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 224897148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375661440).

224897148 is an abundant number, since it is smaller than the sum of its proper divisors (526425732).

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

224897148 is a wasteful number, since it uses less digits than its factorization.

224897148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 224897148 is about 14996.5712081129. The cubic root of 224897148 is about 608.1275088931.

The spelling of 224897148 in words is "two hundred twenty-four million, eight hundred ninety-seven thousand, one hundred forty-eight".