Search a number
-
+
217251074404 = 22721341972
BaseRepresentation
bin1100101001010100101…
…1000101000101100100
3202202202121020001202001
43022111023011011210
512024412233340104
6243445340255044
721460453443400
oct3122513050544
9682677201661
10217251074404
1184154627791
1236130b41484
1317643340000
14a72d27a100
1559b7be3aa4
hex32952c5164

217251074404 has 135 divisors (see below), whose sum is σ = 481559319213. Its totient is φ = 85509208512.

The previous prime is 217251074297. The next prime is 217251074423. The reversal of 217251074404 is 404470152712.

The square root of 217251074404 is 466102.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 138317048100 + 78934026304 = 371910^2 + 280952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1102797234 + ... + 1102797430.

Almost surely, 2217251074404 is an apocalyptic number.

217251074404 is the 466102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217251074404

217251074404 is an abundant number, since it is smaller than the sum of its proper divisors (264308244809).

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

217251074404 is an frugal number, since it uses more digits than its factorization.

217251074404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The spelling of 217251074404 in words is "two hundred seventeen billion, two hundred fifty-one million, seventy-four thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 197 338 364 394 637 676 788 1183 1274 1379 2197 2366 2548 2561 2758 4394 4732 5122 5516 8281 8788 9653 10244 15379 16562 17927 19306 28561 30758 33124 33293 35854 38612 38809 57122 61516 66586 71708 77618 107653 114244 125489 133172 155236 199927 215306 233051 250978 271663 399854 430612 432809 466102 501956 504517 543326 799708 865618 932204 1009034 1086652 1399489 1631357 1731236 1901641 2018068 2798978 3029663 3262714 3531619 3803282 5597956 5626517 6059326 6525428 6558721 7063238 7606564 11253034 12118652 13117442 14126476 21207641 22506068 24721333 26234884 39385619 42415282 45911047 49442666 78771238 84830564 85263373 91822094 98885332 157542476 170526746 183644188 275699333 321377329 341053492 551398666 596843611 642754658 1102797332 1108423849 1193687222 1285509316 2216847698 2387374444 4177905277 4433695396 7758966943 8355810554 15517933886 16711621108 31035867772 54312768601 108625537202 217251074404