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216753054 = 23731277601
BaseRepresentation
bin11001110101101…
…10001110011110
3120002212012021220
430322312032132
5420442044204
633301434210
75241241050
oct1472661636
9502765256
10216753054
11101395861
126070b966
1335ba185b
1420b038d0
15140681d9
hexceb639e

216753054 has 64 divisors (see below), whose sum is σ = 514117632. Its totient is φ = 59616000.

The previous prime is 216753041. The next prime is 216753091. The reversal of 216753054 is 450357612.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 360354 + ... + 360954.

It is an arithmetic number, because the mean of its divisors is an integer number (8033088).

Almost surely, 2216753054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216753054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257058816).

216753054 is an abundant number, since it is smaller than the sum of its proper divisors (297364578).

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

216753054 is a wasteful number, since it uses less digits than its factorization.

216753054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921.

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 216753054 is about 14722.5355832479. The cubic root of 216753054 is about 600.6964634738.

The spelling of 216753054 in words is "two hundred sixteen million, seven hundred fifty-three thousand, fifty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 277 434 554 601 651 831 1202 1302 1662 1803 1939 3606 3878 4207 5817 8414 8587 11634 12621 17174 18631 25242 25761 37262 51522 55893 60109 111786 120218 130417 166477 180327 260834 332954 360654 391251 499431 782502 998862 1165339 2330678 3496017 5160787 6992034 10321574 15482361 30964722 36125509 72251018 108376527 216753054