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214000000 = 2756107
BaseRepresentation
bin11001100000101…
…10000110000000
3112220200022210221
430300112012000
5414241000000
633122432424
75205653464
oct1460260600
9486608727
10214000000
11aa885405
125b802714
1335449726
14205c84a4
1513bc261a
hexcc16180

214000000 has 112 divisors (see below), whose sum is σ = 537883740. Its totient is φ = 84800000.

The previous prime is 213999997. The next prime is 214000009. The reversal of 214000000 is 412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999947 + ... + 2000053.

Almost surely, 2214000000 is an apocalyptic number.

214000000 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 214000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268941870).

214000000 is an abundant number, since it is smaller than the sum of its proper divisors (323883740).

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

214000000 is an frugal number, since it uses more digits than its factorization.

214000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 214000000 is about 14628.7388383278. The cubic root of 214000000 is about 598.1424029721.

Adding to 214000000 its reverse (412), we get a palindrome (214000412).

The spelling of 214000000 in words is "two hundred fourteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 107 125 128 160 200 214 250 320 400 428 500 535 625 640 800 856 1000 1070 1250 1600 1712 2000 2140 2500 2675 3125 3200 3424 4000 4280 5000 5350 6250 6848 8000 8560 10000 10700 12500 13375 13696 15625 16000 17120 20000 21400 25000 26750 31250 34240 40000 42800 50000 53500 62500 66875 68480 80000 85600 100000 107000 125000 133750 171200 200000 214000 250000 267500 334375 342400 400000 428000 500000 535000 668750 856000 1000000 1070000 1337500 1671875 1712000 2000000 2140000 2675000 3343750 4280000 5350000 6687500 8560000 10700000 13375000 21400000 26750000 42800000 53500000 107000000 214000000