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216855330 = 23529534703
BaseRepresentation
bin11001110110011…
…11001100100010
3120010001101120220
430323033030202
5421003332310
633303543510
75242145166
oct1473171442
9503041526
10216855330
1110145568a
126075ab96
1335c09283
1420b2cca6
1514088670
hexcecf322

216855330 has 64 divisors (see below), whose sum is σ = 548674560. Its totient is φ = 54768896.

The previous prime is 216855329. The next prime is 216855343. The reversal of 216855330 is 33558612.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 216855291 and 216855300.

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, 43759 + ... + 48461.

It is an arithmetic number, because the mean of its divisors is an integer number (8573040).

Almost surely, 2216855330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216855330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274337280).

216855330 is an abundant number, since it is smaller than the sum of its proper divisors (331819230).

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

216855330 is a wasteful number, since it uses less digits than its factorization.

216855330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 216855330 is about 14726.0086241996. The cubic root of 216855330 is about 600.7909291492.

The spelling of 216855330 in words is "two hundred sixteen million, eight hundred fifty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 53 58 87 106 145 159 174 265 290 318 435 530 795 870 1537 1590 3074 4611 4703 7685 9222 9406 14109 15370 23055 23515 28218 46110 47030 70545 136387 141090 249259 272774 409161 498518 681935 747777 818322 1246295 1363870 1495554 2045805 2492590 3738885 4091610 7228511 7477770 14457022 21685533 36142555 43371066 72285110 108427665 216855330