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534225120 = 2535111343181
BaseRepresentation
bin11111110101111…
…010000011100000
31101020020110002120
4133311322003200
52043230200440
6125002144240
716144560432
oct3765720340
91336213076
10534225120
11254613270
1212aab2080
13868a9250
1450d44652
1531d78dd0
hex1fd7a0e0

534225120 has 384 divisors, whose sum is σ = 2034160128. Its totient is φ = 116121600.

The previous prime is 534225091. The next prime is 534225161. The reversal of 534225120 is 21522435.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2951430 + ... + 2951610.

It is an arithmetic number, because the mean of its divisors is an integer number (5297292).

Almost surely, 2534225120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017080064).

534225120 is an abundant number, since it is smaller than the sum of its proper divisors (1499935008).

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

534225120 is a wasteful number, since it uses less digits than its factorization.

534225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 534225120 is about 23113.3104509069. The cubic root of 534225120 is about 811.4120165996.

Adding to 534225120 its reverse (21522435), we get a palindrome (555747555).

The spelling of 534225120 in words is "five hundred thirty-four million, two hundred twenty-five thousand, one hundred twenty".