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216153054 = 232138997107
BaseRepresentation
bin11001110001000…
…11101111011110
3120001201201020200
430320203233132
5420313344204
633240524330
75233161555
oct1470435736
9501651220
10216153054
11101015a97
12604806a6
1335a21720
14209c8d9c
1513e9a539
hexce23bde

216153054 has 96 divisors (see below), whose sum is σ = 520097760. Its totient is φ = 64475136.

The previous prime is 216153053. The next prime is 216153059. The reversal of 216153054 is 450351612.

216153054 is a `hidden beast` number, since 21 + 61 + 530 + 54 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216153053) 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 47 ways as a sum of consecutive naturals, for example, 2020069 + ... + 2020175.

It is an arithmetic number, because the mean of its divisors is an integer number (5417685).

Almost surely, 2216153054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216153054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260048880).

216153054 is an abundant number, since it is smaller than the sum of its proper divisors (303944706).

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

216153054 is a wasteful number, since it uses less digits than its factorization.

216153054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 216153054 is about 14702.1445374476. The cubic root of 216153054 is about 600.1416832071.

The spelling of 216153054 in words is "two hundred sixteen million, one hundred fifty-three thousand, fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 97 107 117 178 194 214 234 267 291 321 534 582 642 801 873 963 1157 1261 1391 1602 1746 1926 2314 2522 2782 3471 3783 4173 6942 7566 8346 8633 9523 10379 10413 11349 12519 17266 19046 20758 20826 22698 25038 25899 28569 31137 51798 57138 62274 77697 85707 93411 112229 123799 134927 155394 171414 186822 224458 247598 269854 336687 371397 404781 673374 742794 809562 923731 1010061 1114191 1214343 1847462 2020122 2228382 2428686 2771193 5542386 8313579 12008503 16627158 24017006 36025509 72051018 108076527 216153054