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216145062 = 232729149397
BaseRepresentation
bin11001110001000…
…01110010100110
3120001201022021200
430320201302212
5420313120222
633240423330
75233126350
oct1470416246
9501638250
10216145062
1110100aa91
1260477b46
1335a1abb3
14209c60d0
1513e97eac
hexce21ca6

216145062 has 96 divisors (see below), whose sum is σ = 558792000. Its totient is φ = 59076864.

The previous prime is 216145019. The next prime is 216145063. The reversal of 216145062 is 260541612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216145063) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 544248 + ... + 544644.

It is an arithmetic number, because the mean of its divisors is an integer number (5820750).

Almost surely, 2216145062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216145062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279396000).

216145062 is an abundant number, since it is smaller than the sum of its proper divisors (342646938).

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

216145062 is a wasteful number, since it uses less digits than its factorization.

216145062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216145062 is about 14701.8727378521. The cubic root of 216145062 is about 600.1342866096.

Adding to 216145062 its reverse (260541612), we get a palindrome (476686674).

The spelling of 216145062 in words is "two hundred sixteen million, one hundred forty-five thousand, sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 149 174 203 261 298 397 406 447 522 609 794 894 1043 1191 1218 1341 1827 2086 2382 2682 2779 3129 3573 3654 4321 5558 6258 7146 8337 8642 9387 11513 12963 16674 18774 23026 25011 25926 30247 34539 38889 50022 59153 60494 69078 77778 80591 90741 103617 118306 161182 177459 181482 207234 241773 272223 354918 414071 483546 532377 544446 725319 828142 1064754 1242213 1450638 1715437 2484426 3430874 3726639 5146311 7453278 10292622 12008059 15438933 24016118 30877866 36024177 72048354 108072531 216145062