Search a number
-
+
2256517197 = 351119157283
BaseRepresentation
bin1000011001111111…
…1011100001001101
312211021000221200000
42012133323201031
514110132022242
61011524554513
7106630036224
oct20637734115
95737027600
102256517197
11a58821850
1252b852a39
1329c65c29c
1417598dcbb
15d3182a4c
hex867fb84d

2256517197 has 96 divisors (see below), whose sum is σ = 3920017920. Its totient is φ = 1282806720.

The previous prime is 2256517183. The next prime is 2256517217. The reversal of 2256517197 is 7917156522.

It is a de Polignac number, because none of the positive numbers 2k-2256517197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256517147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7973418 + ... + 7973700.

It is an arithmetic number, because the mean of its divisors is an integer number (40833520).

Almost surely, 22256517197 is an apocalyptic number.

2256517197 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2256517197 is a deficient number, since it is larger than the sum of its proper divisors (1663500723).

2256517197 is a wasteful number, since it uses less digits than its factorization.

2256517197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 2256517197 is about 47502.8125167342. The cubic root of 2256517197 is about 1311.6346544099.

The spelling of 2256517197 in words is "two billion, two hundred fifty-six million, five hundred seventeen thousand, one hundred ninety-seven".

Divisors: 1 3 9 11 19 27 33 57 81 99 157 171 209 243 283 297 471 513 627 849 891 1413 1539 1727 1881 2547 2673 2983 3113 4239 4617 5181 5377 5643 7641 8949 9339 12717 15543 16131 16929 22923 26847 28017 32813 38151 44431 46629 48393 50787 59147 68769 80541 84051 98439 133293 139887 145179 177441 241623 252153 295317 399879 419661 435537 488741 532323 724869 756459 844189 885951 1199637 1306611 1466223 1596969 2532567 2657853 3598911 4398669 4790907 7597701 7973559 9286079 10796733 13196007 14372721 22793103 27858237 39588021 68379309 83574711 118764063 205137927 250724133 752172399 2256517197