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224797680 = 24345113307
BaseRepresentation
bin11010110011000…
…10001111110000
3120122222220110000
431121202033300
5430022011210
634150110000
75366514552
oct1531421760
9518886400
10224797680
1110598a908
126334b300
133775a3a3
1421bd94d2
1514b06ac0
hexd6623f0

224797680 has 200 divisors, whose sum is σ = 790230672. Its totient is φ = 59222016.

The previous prime is 224797669. The next prime is 224797693. The reversal of 224797680 is 86797422.

224797680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 732087 + ... + 732393.

Almost surely, 2224797680 is an apocalyptic number.

224797680 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 224797680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395115336).

224797680 is an abundant number, since it is smaller than the sum of its proper divisors (565432992).

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

224797680 is a wasteful number, since it uses less digits than its factorization.

224797680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 224797680 is about 14993.2544832668. The cubic root of 224797680 is about 608.0378410197.

The spelling of 224797680 in words is "two hundred twenty-four million, seven hundred ninety-seven thousand, six hundred eighty".