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2214046125 = 325323412087
BaseRepresentation
bin1000001111110111…
…1010100110101101
312201022010012022100
42003331322212231
514013243434000
61003410405313
7105603036654
oct20375724655
95638105270
102214046125
11a36853695
12519590839
1329390ba85
1417009619b
15ce593a00
hex83f7a9ad

2214046125 has 96 divisors (see below), whose sum is σ = 4268339712. Its totient is φ = 1101408000.

The previous prime is 2214046103. The next prime is 2214046129. The reversal of 2214046125 is 5216404122.

2214046125 is a `hidden beast` number, since 2 + 2 + 1 + 40 + 4 + 612 + 5 = 666.

It is not a de Polignac number, because 2214046125 - 212 = 2214042029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214046129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1059832 + ... + 1061918.

It is an arithmetic number, because the mean of its divisors is an integer number (44461872).

Almost surely, 22214046125 is an apocalyptic number.

2214046125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2214046125 is a deficient number, since it is larger than the sum of its proper divisors (2054293587).

2214046125 is a wasteful number, since it uses less digits than its factorization.

2214046125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2214046125 is about 47053.6515586198. The cubic root of 2214046125 is about 1303.3534966708.

It can be divided in two parts, 221404 and 6125, that added together give a square (227529 = 4772).

The spelling of 2214046125 in words is "two billion, two hundred fourteen million, forty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 41 45 69 75 115 123 125 205 207 225 345 369 375 575 615 943 1025 1035 1125 1725 1845 2087 2829 2875 3075 4715 5125 5175 6261 8487 8625 9225 10435 14145 15375 18783 23575 25875 31305 42435 46125 48001 52175 70725 85567 93915 117875 144003 156525 212175 240005 256701 260875 353625 427835 432009 469575 720015 770103 782625 1060875 1200025 1283505 1968041 2139175 2160045 2347875 3600075 3850515 5904123 6000125 6417525 9840205 10695875 10800225 17712369 18000375 19252575 29520615 32087625 49201025 54001125 88561845 96262875 147603075 246005125 442809225 738015375 2214046125