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214340140 = 22571924241
BaseRepresentation
bin11001100011010…
…01001000101100
3112221022121101201
430301221020230
5414332341030
633134015244
75211601240
oct1461511054
9487277351
10214340140
11aaa97a13
125b947524
13355384b1
1420676420
1513c3d2ca
hexcc6922c

214340140 has 72 divisors (see below), whose sum is σ = 543043872. Its totient is φ = 69603840.

The previous prime is 214340129. The next prime is 214340141. The reversal of 214340140 is 41043412.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (214340141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48420 + ... + 52660.

It is an arithmetic number, because the mean of its divisors is an integer number (7542276).

Almost surely, 2214340140 is an apocalyptic number.

214340140 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 214340140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271521936).

214340140 is an abundant number, since it is smaller than the sum of its proper divisors (328703732).

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

214340140 is a wasteful number, since it uses less digits than its factorization.

214340140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 214340140 is about 14640.3599682521. The cubic root of 214340140 is about 598.4591388917.

Adding to 214340140 its reverse (41043412), we get a palindrome (255383552).

The spelling of 214340140 in words is "two hundred fourteen million, three hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 361 380 532 665 722 1330 1444 1805 2527 2660 3610 4241 5054 7220 8482 10108 12635 16964 21205 25270 29687 42410 50540 59374 80579 84820 118748 148435 161158 296870 322316 402895 564053 593740 805790 1128106 1531001 1611580 2256212 2820265 3062002 5640530 6124004 7655005 10717007 11281060 15310010 21434014 30620020 42868028 53585035 107170070 214340140