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213098706 = 232171096389
BaseRepresentation
bin11001011001110…
…10000011010010
3112211222112110200
430230322003102
5414023124311
633051240030
75165211012
oct1454720322
9484875420
10213098706
11aa31a237
125b449016
13351c2412
1420431c42
1513a95556
hexcb3a0d2

213098706 has 48 divisors (see below), whose sum is σ = 493435800. Its totient is φ = 66230784.

The previous prime is 213098693. The next prime is 213098713. The reversal of 213098706 is 607890312.

It can be written as a sum of positive squares in 4 ways, for example, as 162333081 + 50765625 = 12741^2 + 7125^2 .

It is a super-2 number, since 2×2130987062 = 90822116997748872, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30160 + ... + 36548.

Almost surely, 2213098706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213098706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246717900).

213098706 is an abundant number, since it is smaller than the sum of its proper divisors (280337094).

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

213098706 is a wasteful number, since it uses less digits than its factorization.

213098706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 213098706 is about 14597.9007394899. The cubic root of 213098706 is about 597.3014983427.

The spelling of 213098706 in words is "two hundred thirteen million, ninety-eight thousand, seven hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1853 1962 3706 5559 6389 11118 12778 16677 19167 33354 38334 57501 108613 115002 217226 325839 651678 696401 977517 1392802 1955034 2089203 4178406 6267609 11838817 12535218 23677634 35516451 71032902 106549353 213098706