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217048140 = 223351133557
BaseRepresentation
bin11001110111111…
…10010001001100
3120010102012002000
430323332101030
5421031020030
633312032300
75243610261
oct1473762114
9503365060
10217048140
11101577531
1260832690
1335c75c6a
1420b7d268
15140c5860
hexcefe44c

217048140 has 96 divisors (see below), whose sum is σ = 681428160. Its totient is φ = 57351168.

The previous prime is 217048123. The next prime is 217048147. The reversal of 217048140 is 41840712.

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

It is not an unprimeable number, because it can be changed into a prime (217048147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59242 + ... + 62798.

It is an arithmetic number, because the mean of its divisors is an integer number (7098210).

Almost surely, 2217048140 is an apocalyptic number.

217048140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217048140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340714080).

217048140 is an abundant number, since it is smaller than the sum of its proper divisors (464380020).

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

217048140 is a wasteful number, since it uses less digits than its factorization.

217048140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 217048140 is about 14732.5537501141. The cubic root of 217048140 is about 600.9689344345.

Adding to 217048140 its reverse (41840712), we get a palindrome (258888852).

The spelling of 217048140 in words is "two hundred seventeen million, forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 113 135 180 226 270 339 452 540 565 678 1017 1130 1356 1695 2034 2260 3051 3390 3557 4068 5085 6102 6780 7114 10170 10671 12204 14228 15255 17785 20340 21342 30510 32013 35570 42684 53355 61020 64026 71140 96039 106710 128052 160065 192078 213420 320130 384156 401941 480195 640260 803882 960390 1205823 1607764 1920780 2009705 2411646 3617469 4019410 4823292 6029115 7234938 8038820 10852407 12058230 14469876 18087345 21704814 24116460 36174690 43409628 54262035 72349380 108524070 217048140