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2021744214 = 232733171033
BaseRepresentation
bin111100010000001…
…0101111001010110
312012220021020200100
41320200111321112
513120031303324
6532340554530
7101046354000
oct17040257126
95186236610
102021744214
11948249396
124850b2a46
13262b1b669
14152719370
15bc75a4c9
hex78815e56

2021744214 has 96 divisors (see below), whose sum is σ = 5129467200. Its totient is φ = 575261568.

The previous prime is 2021744093. The next prime is 2021744233. The reversal of 2021744214 is 4124471202.

2021744214 is a `hidden beast` number, since 2 + 0 + 217 + 442 + 1 + 4 = 666.

It is a super-3 number, since 3×20217442143 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1956642 + ... + 1957674.

It is an arithmetic number, because the mean of its divisors is an integer number (53431950).

Almost surely, 22021744214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021744214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564733600).

2021744214 is an abundant number, since it is smaller than the sum of its proper divisors (3107722986).

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

2021744214 is a wasteful number, since it uses less digits than its factorization.

2021744214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2021744214 is about 44963.8100476372. The cubic root of 2021744214 is about 1264.4706006025.

The spelling of 2021744214 in words is "two billion, twenty-one million, seven hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 317 343 441 634 686 882 951 1029 1033 1902 2058 2066 2219 2853 3087 3099 4438 5706 6174 6198 6657 7231 9297 13314 14462 15533 18594 19971 21693 31066 39942 43386 46599 50617 65079 93198 101234 108731 130158 139797 151851 217462 279594 303702 326193 327461 354319 455553 652386 654922 708638 911106 978579 982383 1062957 1957158 1964766 2125914 2292227 2947149 3188871 4584454 5894298 6377742 6876681 13753362 16045589 20630043 32091178 41260086 48136767 96273534 112319123 144410301 224638246 288820602 336957369 673914738 1010872107 2021744214