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212098068 = 223372133083
BaseRepresentation
bin11001010010001…
…01110000010100
3112210002200212000
430221011300110
5413244114233
633013555300
75153542500
oct1451056024
9483080760
10212098068
11a97a6466
125b045b30
1334c31b20
1420251300
1513948d13
hexca45c14

212098068 has 144 divisors (see below), whose sum is σ = 689088960. Its totient is φ = 55919808.

The previous prime is 212098067. The next prime is 212098091. The reversal of 212098068 is 860890212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212098067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67255 + ... + 70337.

It is an arithmetic number, because the mean of its divisors is an integer number (4785340).

Almost surely, 2212098068 is an apocalyptic number.

212098068 is a gapful number since it is divisible by the number (28) 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 212098068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344544480).

212098068 is an abundant number, since it is smaller than the sum of its proper divisors (476990892).

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

212098068 is a wasteful number, since it uses less digits than its factorization.

212098068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 212098068 is about 14563.5870581392. The cubic root of 212098068 is about 596.3651239276.

The spelling of 212098068 in words is "two hundred twelve million, ninety-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 756 819 882 1092 1274 1323 1404 1638 1764 1911 2457 2548 2646 3083 3276 3822 4914 5292 5733 6166 7644 9249 9828 11466 12332 17199 18498 21581 22932 27747 34398 36996 40079 43162 55494 64743 68796 80158 83241 86324 110988 120237 129486 151067 160316 166482 194229 240474 258972 280553 302134 332964 360711 388458 453201 480948 561106 582687 604268 721422 776916 841659 906402 1082133 1122212 1165374 1359603 1442844 1683318 1812804 1963871 2164266 2330748 2524977 2719206 3366636 3927742 4078809 4328532 5049954 5438412 5891613 7574931 7855484 8157618 10099908 11783226 15149862 16315236 17674839 23566452 30299724 35349678 53024517 70699356 106049034 212098068