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216725472 = 2532752519
BaseRepresentation
bin11001110101011…
…11011111100000
3120002210210110100
430322233133200
5420440203342
633301102400
75241064455
oct1472573740
9502723410
10216725472
11101377067
12606b7a00
1335b92132
1420ad782c
151405ee4c
hexceaf7e0

216725472 has 36 divisors (see below), whose sum is σ = 616313880. Its totient is φ = 72241728.

The previous prime is 216725471. The next prime is 216725477. The reversal of 216725472 is 274527612.

It is a happy number.

216725472 is a `hidden beast` number, since 2 + 167 + 25 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216725471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 375972 + ... + 376547.

It is an arithmetic number, because the mean of its divisors is an integer number (17119830).

Almost surely, 2216725472 is an apocalyptic number.

It is an amenable number.

216725472 is an abundant number, since it is smaller than the sum of its proper divisors (399588408).

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

216725472 is a wasteful number, since it uses less digits than its factorization.

216725472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752535 (or 752524 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 216725472 is about 14721.5988262145. The cubic root of 216725472 is about 600.6709826907.

The spelling of 216725472 in words is "two hundred sixteen million, seven hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 752519 1505038 2257557 3010076 4515114 6020152 6772671 9030228 12040304 13545342 18060456 24080608 27090684 36120912 54181368 72241824 108362736 216725472