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216308196 = 223213617577
BaseRepresentation
bin11001110010010…
…01100111100100
3120002000121001200
430321021213210
5420333330241
633244122500
75234406066
oct1471114744
9502017050
10216308196
11101111605
1260536430
1335a77220
1420a29736
1513ecb4b6
hexce499e4

216308196 has 72 divisors (see below), whose sum is σ = 598571064. Its totient is φ = 65456640.

The previous prime is 216308171. The next prime is 216308201. The reversal of 216308196 is 691803612.

216308196 is a `hidden beast` number, since 2 + 1 + 630 + 8 + 19 + 6 = 666.

216308196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42068196 + 174240000 = 6486^2 + 13200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216308196.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24760 + ... + 32336.

It is an arithmetic number, because the mean of its divisors is an integer number (8313487).

Almost surely, 2216308196 is an apocalyptic number.

216308196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216308196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299285532).

216308196 is an abundant number, since it is smaller than the sum of its proper divisors (382262868).

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

216308196 is a wasteful number, since it uses less digits than its factorization.

216308196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7661 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 216308196 is about 14707.4197601075. The cubic root of 216308196 is about 600.2852310506.

The spelling of 216308196 in words is "two hundred sixteen million, three hundred eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 3172 4758 7137 7577 9516 14274 15154 22731 28548 30308 45462 68193 90924 98501 136386 197002 272772 295503 394004 462197 591006 886509 924394 1182012 1386591 1773018 1848788 2773182 3546036 4159773 5546364 6008561 8319546 12017122 16639092 18025683 24034244 36051366 54077049 72102732 108154098 216308196