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505550214 = 2331319291307
BaseRepresentation
bin11110001000100…
…001010110000110
31022020021121112000
4132020201112012
52013410101324
6122055410130
715346051221
oct3610412606
91266247460
10505550214
1123a4083a4
12121383946
1380979450
144b1dc5b8
152e5b29c9
hex1e221586

505550214 has 128 divisors (see below), whose sum is σ = 1318464000. Its totient is φ = 142176384.

The previous prime is 505550209. The next prime is 505550219. The reversal of 505550214 is 412055505.

It is an interprime number because it is at equal distance from previous prime (505550209) and next prime (505550219).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505550219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386149 + ... + 387455.

It is an arithmetic number, because the mean of its divisors is an integer number (10300500).

Almost surely, 2505550214 is an apocalyptic number.

505550214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505550214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659232000).

505550214 is an abundant number, since it is smaller than the sum of its proper divisors (812913786).

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

505550214 is a wasteful number, since it uses less digits than its factorization.

505550214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 505550214 is about 22484.4438223408. The cubic root of 505550214 is about 796.6265310881.

The spelling of 505550214 in words is "five hundred five million, five hundred fifty thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 19 26 27 29 38 39 54 57 58 78 87 114 117 171 174 234 247 261 342 351 377 494 513 522 551 702 741 754 783 1026 1102 1131 1307 1482 1566 1653 2223 2262 2614 3306 3393 3921 4446 4959 6669 6786 7163 7842 9918 10179 11763 13338 14326 14877 16991 20358 21489 23526 24833 29754 33982 35289 37903 42978 49666 50973 64467 70578 74499 75806 101946 113709 128934 148998 152919 193401 223497 227418 305838 322829 341127 386802 446994 458757 492739 645658 670491 682254 720157 917514 968487 985478 1023381 1340982 1440314 1478217 1936974 2046762 2160471 2905461 2956434 4320942 4434651 5810922 6481413 8716383 8869302 9362041 12962826 13303953 17432766 18724082 19444239 26607906 28086123 38888478 56172246 84258369 168516738 252775107 505550214