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132214425 = 3527713547
BaseRepresentation
bin1111110000101…
…10111010011001
3100012210012002120
413320112322121
5232321330200
621041451453
73163542540
oct770267231
9305705076
10132214425
11686a4722
1238340b89
13215126b5
14137b9157
15b9199a0
hex7e16e99

132214425 has 48 divisors (see below), whose sum is σ = 253412352. Its totient is φ = 59572800.

The previous prime is 132214417. The next prime is 132214429. The reversal of 132214425 is 524412231.

It is not a de Polignac number, because 132214425 - 23 = 132214417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132214395 and 132214404.

It is not an unprimeable number, because it can be changed into a prime (132214429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35502 + ... + 39048.

It is an arithmetic number, because the mean of its divisors is an integer number (5279424).

Almost surely, 2132214425 is an apocalyptic number.

132214425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132214425 is a deficient number, since it is larger than the sum of its proper divisors (121197927).

132214425 is a wasteful number, since it uses less digits than its factorization.

132214425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3633 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 132214425 is about 11498.4531568381. The cubic root of 132214425 is about 509.4398887313.

Adding to 132214425 its reverse (524412231), we get a palindrome (656626656).

The spelling of 132214425 in words is "one hundred thirty-two million, two hundred fourteen thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 71 75 105 175 213 355 497 525 1065 1491 1775 2485 3547 5325 7455 10641 12425 17735 24829 37275 53205 74487 88675 124145 251837 266025 372435 620725 755511 1259185 1762859 1862175 3777555 5288577 6295925 8814295 18887775 26442885 44071475 132214425