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2262004125 = 35331194581
BaseRepresentation
bin1000011011010011…
…0111000110011101
312211122100201022120
42012310313012131
514113033113000
61012242333153
7110024501133
oct20664670635
95748321276
102262004125
11a6092a1a7
1253165a1b9
132a08308a4
141765bb753
15d38b86a0
hex86d3719d

2262004125 has 32 divisors (see below), whose sum is σ = 3885413376. Its totient is φ = 1167480000.

The previous prime is 2262004099. The next prime is 2262004141. The reversal of 2262004125 is 5214002622.

It is a happy number.

It is not a de Polignac number, because 2262004125 - 211 = 2262002077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2262004095 and 2262004104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 85666 + ... + 108915.

It is an arithmetic number, because the mean of its divisors is an integer number (121419168).

Almost surely, 22262004125 is an apocalyptic number.

2262004125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2262004125 is a deficient number, since it is larger than the sum of its proper divisors (1623409251).

2262004125 is a wasteful number, since it uses less digits than its factorization.

2262004125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194630 (or 194620 counting only the distinct ones).

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

The square root of 2262004125 is about 47560.5311681861. The cubic root of 2262004125 is about 1312.6969137663.

Adding to 2262004125 its reverse (5214002622), we get a palindrome (7476006747).

The spelling of 2262004125 in words is "two billion, two hundred sixty-two million, four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 125 155 375 465 775 2325 3875 11625 194581 583743 972905 2918715 4864525 6032011 14593575 18096033 24322625 30160055 72967875 90480165 150800275 452400825 754001375 2262004125