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214012125 = 345323919
BaseRepresentation
bin11001100000110…
…01000011011101
3112220200221110000
430300121003131
5414241342000
633123004513
75206034025
oct1460310335
9486627400
10214012125
11aa893528
125b809739
13354520c2
14205cca85
1513bc6000
hexcc190dd

214012125 has 80 divisors (see below), whose sum is σ = 416782080. Its totient is φ = 109058400.

The previous prime is 214012093. The next prime is 214012147. The reversal of 214012125 is 521210412.

It is not a de Polignac number, because 214012125 - 25 = 214012093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214012098 and 214012107.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 232416 + ... + 233334.

It is an arithmetic number, because the mean of its divisors is an integer number (5209776).

Almost surely, 2214012125 is an apocalyptic number.

214012125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214012125 is a deficient number, since it is larger than the sum of its proper divisors (202769955).

214012125 is an equidigital number, since it uses as much as digits as its factorization.

214012125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 214012125 is about 14629.1532564260. The cubic root of 214012125 is about 598.1536994513.

Adding to 214012125 its reverse (521210412), we get a palindrome (735222537).

The spelling of 214012125 in words is "two hundred fourteen million, twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 125 135 207 225 345 375 405 575 621 675 919 1035 1125 1725 1863 2025 2757 2875 3105 3375 4595 5175 8271 8625 9315 10125 13785 15525 21137 22975 24813 25875 41355 46575 63411 68925 74439 77625 105685 114875 124065 190233 206775 232875 317055 344625 372195 528425 570699 620325 951165 1033875 1585275 1712097 1860975 2642125 2853495 3101625 4755825 7926375 8560485 9304875 14267475 23779125 42802425 71337375 214012125