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216264930 = 2357321017
BaseRepresentation
bin11001110001111…
…11000011100010
3120001221101201020
430320333003202
5420330434210
633243150310
75234136000
oct1470770342
9501841636
10216264930
11101092052
1260515396
1335a6061b
1420a17a70
1513ebd770
hexce3f0e2

216264930 has 64 divisors (see below), whose sum is σ = 605318400. Its totient is φ = 49429632.

The previous prime is 216264901. The next prime is 216264941. The reversal of 216264930 is 39462612.

It is a junction number, because it is equal to n+sod(n) for n = 216264891 and 216264900.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219 + ... + 20798.

It is an arithmetic number, because the mean of its divisors is an integer number (9458100).

Almost surely, 2216264930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216264930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302659200).

216264930 is an abundant number, since it is smaller than the sum of its proper divisors (389053470).

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

216264930 is a wasteful number, since it uses less digits than its factorization.

216264930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21048 (or 21034 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 216264930 is about 14705.9487963205. The cubic root of 216264930 is about 600.2452053325.

The spelling of 216264930 in words is "two hundred sixteen million, two hundred sixty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 5145 10290 21017 42034 63051 105085 126102 147119 210170 294238 315255 441357 630510 735595 882714 1029833 1471190 2059666 2206785 3089499 4413570 5149165 6178998 7208831 10298330 14417662 15447495 21626493 30894990 36044155 43252986 72088310 108132465 216264930