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122285925 = 3252372397
BaseRepresentation
bin1110100100111…
…10111101100101
322112002202202100
413102132331211
5222301122200
620045002313
73013261506
oct722367545
9275082670
10122285925
1163033253
1234b53399
131c447548
1412352bad
15ab07d00
hex749ef65

122285925 has 54 divisors (see below), whose sum is σ = 225674358. Its totient is φ = 63296640.

The previous prime is 122285909. The next prime is 122285929. The reversal of 122285925 is 529582221.

It can be written as a sum of positive squares in 9 ways, for example, as 6561 + 122279364 = 81^2 + 11058^2 .

It is not a de Polignac number, because 122285925 - 24 = 122285909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122285925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122285929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 307827 + ... + 308223.

Almost surely, 2122285925 is an apocalyptic number.

122285925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122285925 is a deficient number, since it is larger than the sum of its proper divisors (103388433).

122285925 is a wasteful number, since it uses less digits than its factorization.

122285925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 442 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 122285925 is about 11058.2966590701. The cubic root of 122285925 is about 496.3547218121.

The spelling of 122285925 in words is "one hundred twenty-two million, two hundred eighty-five thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 185 225 333 397 555 925 1191 1369 1665 1985 2775 3573 4107 5955 6845 8325 9925 12321 14689 17865 20535 29775 34225 44067 61605 73445 89325 102675 132201 220335 308025 367225 543493 661005 1101675 1630479 2717465 3305025 4891437 8152395 13587325 24457185 40761975 122285925