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216225048 = 233131136133
BaseRepresentation
bin11001110001101…
…01010100011000
3120001212101000010
430320311110120
5420323200143
633242241520
75233611504
oct1470652430
9501771003
10216225048
11101065096
12604b62a0
1335a48420
1420a07304
1513eb1a33
hexce35518

216225048 has 64 divisors (see below), whose sum is σ = 587391840. Its totient is φ = 65931264.

The previous prime is 216225017. The next prime is 216225071. The reversal of 216225048 is 840522612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32190 + ... + 38322.

Almost surely, 2216225048 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 216225048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293695920).

216225048 is an abundant number, since it is smaller than the sum of its proper divisors (371166792).

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

216225048 is a wasteful number, since it uses less digits than its factorization.

216225048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 216225048 is about 14704.5927519262. The cubic root of 216225048 is about 600.2083054508.

The spelling of 216225048 in words is "two hundred sixteen million, two hundred twenty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 156 226 312 339 452 678 904 1356 1469 2712 2938 4407 5876 6133 8814 11752 12266 17628 18399 24532 35256 36798 49064 73596 79729 147192 159458 239187 318916 478374 637832 693029 956748 1386058 1913496 2079087 2772116 4158174 5544232 8316348 9009377 16632696 18018754 27028131 36037508 54056262 72075016 108112524 216225048