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214333140 = 22357975261
BaseRepresentation
bin11001100011001…
…11011011010100
3112221022020210110
430301213123110
5414332130030
633133523020
75211541650
oct1461473324
9487266713
10214333140
11aaa9272a
125b943470
1335535258
1420673a60
1513c3b1b0
hexcc676d4

214333140 has 96 divisors (see below), whose sum is σ = 693068544. Its totient is φ = 48476160.

The previous prime is 214333139. The next prime is 214333153. The reversal of 214333140 is 41333412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38110 + ... + 43370.

It is an arithmetic number, because the mean of its divisors is an integer number (7219464).

Almost surely, 2214333140 is an apocalyptic number.

214333140 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 214333140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346534272).

214333140 is an abundant number, since it is smaller than the sum of its proper divisors (478735404).

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

214333140 is a wasteful number, since it uses less digits than its factorization.

214333140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 214333140 is about 14640.1209011401. The cubic root of 214333140 is about 598.4526239204.

Adding to 214333140 its reverse (41333412), we get a palindrome (255666552).

The spelling of 214333140 in words is "two hundred fourteen million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 97 105 140 194 210 291 388 420 485 582 679 970 1164 1358 1455 1940 2037 2716 2910 3395 4074 5261 5820 6790 8148 10185 10522 13580 15783 20370 21044 26305 31566 36827 40740 52610 63132 73654 78915 105220 110481 147308 157830 184135 220962 315660 368270 441924 510317 552405 736540 1020634 1104810 1530951 2041268 2209620 2551585 3061902 3572219 5103170 6123804 7144438 7654755 10206340 10716657 14288876 15309510 17861095 21433314 30619020 35722190 42866628 53583285 71444380 107166570 214333140