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214144500 = 22353367389
BaseRepresentation
bin11001100001110…
…01010111110100
3112220221200000210
430300321113310
5414310111000
633125505420
75210124663
oct1460712764
9486850023
10214144500
11aa973a29
125b872270
133549a42b
1420624dda
1513c00350
hexcc395f4

214144500 has 96 divisors (see below), whose sum is σ = 626895360. Its totient is φ = 56803200.

The previous prime is 214144481. The next prime is 214144531. The reversal of 214144500 is 5441412.

It is a happy number.

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, 550306 + ... + 550694.

It is an arithmetic number, because the mean of its divisors is an integer number (6530160).

Almost surely, 2214144500 is an apocalyptic number.

214144500 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 214144500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313447680).

214144500 is an abundant number, since it is smaller than the sum of its proper divisors (412750860).

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

214144500 is a wasteful number, since it uses less digits than its factorization.

214144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 214144500 is about 14633.6769132026. The cubic root of 214144500 is about 598.2770013065.

Adding to 214144500 its reverse (5441412), we get a palindrome (219585912).

The spelling of 214144500 in words is "two hundred fourteen million, one hundred forty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 367 375 389 500 734 750 778 1101 1167 1468 1500 1556 1835 1945 2202 2334 3670 3890 4404 4668 5505 5835 7340 7780 9175 9725 11010 11670 18350 19450 22020 23340 27525 29175 36700 38900 45875 48625 55050 58350 91750 97250 110100 116700 137625 142763 145875 183500 194500 275250 285526 291750 428289 550500 571052 583500 713815 856578 1427630 1713156 2141445 2855260 3569075 4282890 7138150 8565780 10707225 14276300 17845375 21414450 35690750 42828900 53536125 71381500 107072250 214144500