Search a number
-
+
214999488 = 26331111311
BaseRepresentation
bin11001101000010…
…10000111000000
3112222120002212000
430310022013000
5420014440423
633200104000
75220315444
oct1464120700
9488502760
10214999488
111003a8330
1260005000
1335709642
14207a8824
1513d1d843
hexcd0a1c0

214999488 has 112 divisors (see below), whose sum is σ = 689579520. Its totient is φ = 65145600.

The previous prime is 214999483. The next prime is 214999511. The reversal of 214999488 is 884999412.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214999483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13353 + ... + 24663.

It is an arithmetic number, because the mean of its divisors is an integer number (6156960).

Almost surely, 2214999488 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 214999488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344789760).

214999488 is an abundant number, since it is smaller than the sum of its proper divisors (474580032).

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

214999488 is a wasteful number, since it uses less digits than its factorization.

214999488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11343 (or 11327 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 214999488 is about 14662.8608395497. The cubic root of 214999488 is about 599.0721659462.

The spelling of 214999488 in words is "two hundred fourteen million, nine hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 11311 19008 22622 33933 45244 67866 90488 101799 124421 135732 180976 203598 248842 271464 305397 361952 373263 407196 497684 542928 610794 723904 746526 814392 995368 1085856 1119789 1221588 1493052 1628784 1990736 2171712 2239578 2443176 2986104 3257568 3359367 3981472 4479156 4886352 5972208 6515136 6718734 7962944 8958312 9772704 11944416 13437468 17916624 19545408 23888832 26874936 35833248 53749872 71666496 107499744 214999488