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216170420 = 22517362477
BaseRepresentation
bin11001110001001…
…11111110110100
3120001202121001212
430320213332310
5420314423140
633241140552
75233263314
oct1470477664
9501677055
10216170420
11101028044
126048a758
1335a295bb
14209d1444
1513ea0765
hexce27fb4

216170420 has 24 divisors (see below), whose sum is σ = 456589224. Its totient is φ = 85966976.

The previous prime is 216170413. The next prime is 216170431. The reversal of 216170420 is 24071612.

216170420 is digitally balanced in base 3, 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 31047184 + 185123236 = 5572^2 + 13606^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27779 + ... + 34698.

It is an arithmetic number, because the mean of its divisors is an integer number (19024551).

Almost surely, 2216170420 is an apocalyptic number.

216170420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216170420 is an abundant number, since it is smaller than the sum of its proper divisors (240418804).

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

216170420 is a wasteful number, since it uses less digits than its factorization.

216170420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62659 (or 62657 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 216170420 is about 14702.7351196980. The cubic root of 216170420 is about 600.1577548150.

The spelling of 216170420 in words is "two hundred sixteen million, one hundred seventy thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 62477 124954 249908 312385 624770 1249540 10808521 21617042 43234084 54042605 108085210 216170420