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20214700 = 225211172347
BaseRepresentation
bin100110100011…
…1001110101100
31102001000100121
41031013032230
520133332300
62001134324
7333551662
oct115071654
942030317
1020214700
1110457670
12692a3a4
13425a07c
142982c32
151b9481a
hex13473ac

20214700 has 144 divisors (see below), whose sum is σ = 53996544. Its totient is φ = 6476800.

The previous prime is 20214673. The next prime is 20214707. The reversal of 20214700 is 741202.

It is not an unprimeable number, because it can be changed into a prime (20214707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430077 + ... + 430123.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 220214700 is an apocalyptic number.

20214700 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 20214700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272).

20214700 is an abundant number, since it is smaller than the sum of its proper divisors (33781844).

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

20214700 is a wasteful number, since it uses less digits than its factorization.

20214700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 20214700 is about 4496.0760669722. The cubic root of 20214700 is about 272.4096156769.

Adding to 20214700 its reverse (741202), we get a palindrome (20955902).

The spelling of 20214700 in words is "twenty million, two hundred fourteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 17 20 22 23 25 34 44 46 47 50 55 68 85 92 94 100 110 115 170 187 188 220 230 235 253 275 340 374 391 425 460 470 506 517 550 575 748 782 799 850 935 940 1012 1034 1081 1100 1150 1175 1265 1564 1598 1700 1870 1955 2068 2162 2300 2350 2530 2585 3196 3740 3910 3995 4301 4324 4675 4700 5060 5170 5405 6325 7820 7990 8602 8789 9350 9775 10340 10810 11891 12650 12925 15980 17204 17578 18377 18700 19550 19975 21505 21620 23782 25300 25850 27025 35156 36754 39100 39950 43010 43945 47564 51700 54050 59455 73508 79900 86020 87890 91885 107525 108100 118910 175780 183770 202147 215050 219725 237820 297275 367540 404294 430100 439450 459425 594550 808588 878900 918850 1010735 1189100 1837700 2021470 4042940 5053675 10107350 20214700