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216450252 = 223313115299
BaseRepresentation
bin11001110011011…
…00010011001100
3120002021210221000
430321230103030
5420402402002
633251140300
75235540204
oct1471542314
9502253830
10216450252
111011a9307
12605a4690
1335ac6a95
1420a65404
151400861c
hexce6c4cc

216450252 has 48 divisors (see below), whose sum is σ = 565488000. Its totient is φ = 71594640.

The previous prime is 216450233. The next prime is 216450301. The reversal of 216450252 is 252054612.

216450252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6499 + ... + 21797.

It is an arithmetic number, because the mean of its divisors is an integer number (11781000).

Almost surely, 2216450252 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 216450252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282744000).

216450252 is an abundant number, since it is smaller than the sum of its proper divisors (349037748).

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

216450252 is a wasteful number, since it uses less digits than its factorization.

216450252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15443 (or 15435 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 216450252 is about 14712.2483665822. The cubic root of 216450252 is about 600.4166106590.

The spelling of 216450252 in words is "two hundred sixteen million, four hundred fifty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 1179 1572 2358 3537 4716 7074 14148 15299 30598 45897 61196 91794 137691 183588 275382 413073 550764 826146 1652292 2004169 4008338 6012507 8016676 12025014 18037521 24050028 36075042 54112563 72150084 108225126 216450252