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216464316 = 223232233517
BaseRepresentation
bin11001110011011…
…11101110111100
3120002022112012220
430321233232330
5420403324231
633251325340
75235626205
oct1471575674
9502275186
10216464316
11101208932
12605b0850
1335b002c3
1420a6a5ac
151400c896
hexce6fbbc

216464316 has 48 divisors (see below), whose sum is σ = 529557504. Its totient is φ = 68688576.

The previous prime is 216464291. The next prime is 216464329. The reversal of 216464316 is 613464612.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59790 + ... + 63306.

It is an arithmetic number, because the mean of its divisors is an integer number (11032448).

Almost surely, 2216464316 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 216464316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264778752).

216464316 is an abundant number, since it is smaller than the sum of its proper divisors (313093188).

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

216464316 is a wasteful number, since it uses less digits than its factorization.

216464316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3768 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 216464316 is about 14712.7263279108. The cubic root of 216464316 is about 600.4296145344.

The spelling of 216464316 in words is "two hundred sixteen million, four hundred sixty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 223 276 446 669 892 1338 2676 3517 5129 7034 10258 10551 14068 15387 20516 21102 30774 42204 61548 80891 161782 242673 323564 485346 784291 970692 1568582 2352873 3137164 4705746 9411492 18038693 36077386 54116079 72154772 108232158 216464316