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213975396 = 2232174347173
BaseRepresentation
bin11001100000100…
…00000101100100
3112220122002001200
430300100011210
5414234203041
633122122500
75205521655
oct1460200544
9486562050
10213975396
11aa868978
125b7b0430
133543b47b
14205bd52c
1513bba1b6
hexcc10164

213975396 has 144 divisors (see below), whose sum is σ = 601945344. Its totient is φ = 63802368.

The previous prime is 213975383. The next prime is 213975407. The reversal of 213975396 is 693579312.

213975396 is a `hidden beast` number, since 21 + 3 + 97 + 539 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236766 + ... + 1236938.

It is an arithmetic number, because the mean of its divisors is an integer number (4180176).

Almost surely, 2213975396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213975396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300972672).

213975396 is an abundant number, since it is smaller than the sum of its proper divisors (387969948).

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

213975396 is a wasteful number, since it uses less digits than its factorization.

213975396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 285 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 213975396 is about 14627.8978667476. The cubic root of 213975396 is about 598.1194788915.

The spelling of 213975396 in words is "two hundred thirteen million, nine hundred seventy-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 47 51 68 86 94 102 129 141 153 172 173 188 204 258 282 306 346 387 423 516 519 564 612 692 731 774 799 846 1038 1462 1548 1557 1598 1692 2021 2076 2193 2397 2924 2941 3114 3196 4042 4386 4794 5882 6063 6228 6579 7191 7439 8084 8131 8772 8823 9588 11764 12126 13158 14382 14878 16262 17646 18189 22317 24252 24393 26316 26469 28764 29756 32524 34357 35292 36378 44634 48786 52938 66951 68714 72756 73179 89268 97572 103071 105876 126463 133902 137428 138227 146358 206142 252926 267804 276454 292716 309213 349633 379389 412284 414681 505852 552908 618426 699266 758778 829362 1048899 1138167 1236852 1244043 1398532 1517556 1658724 2097798 2276334 2488086 3146697 4195596 4552668 4976172 5943761 6293394 11887522 12586788 17831283 23775044 35662566 53493849 71325132 106987698 213975396