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474148224 = 273211173171
BaseRepresentation
bin11100010000101…
…110110110000000
31020001012020002100
4130100232312000
51432340220344
6115014350400
714515123224
oct3420566600
91201166070
10474148224
1122370a640
1211295b400
13773032a4
1446d86784
152b95d569
hex1c42ed80

474148224 has 384 divisors, whose sum is σ = 1649756160. Its totient is φ = 129024000.

The previous prime is 474148217. The next prime is 474148273. The reversal of 474148224 is 422841474.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6678109 + ... + 6678179.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2474148224 is an apocalyptic number.

474148224 is a gapful number since it is divisible by the number (44) 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 474148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824878080).

474148224 is an abundant number, since it is smaller than the sum of its proper divisors (1175607936).

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

474148224 is a wasteful number, since it uses less digits than its factorization.

474148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 474148224 is about 21774.9448678981. The cubic root of 474148224 is about 779.7787143476.

Adding to 474148224 its reverse (422841474), we get a palindrome (896989698).

The spelling of 474148224 in words is "four hundred seventy-four million, one hundred forty-eight thousand, two hundred twenty-four".