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2034225432 = 2332231228397
BaseRepresentation
bin111100100111111…
…1101000100011000
312020202202100200200
41321033331010120
513131230203212
6533504302200
7101260426251
oct17117750430
95222670620
102034225432
119542a3748
12489311960
1326559b6b5
14154247b28
15bd8c36dc
hex793fd118

2034225432 has 48 divisors (see below), whose sum is σ = 5748902640. Its totient is φ = 648593088.

The previous prime is 2034225419. The next prime is 2034225437. The reversal of 2034225432 is 2345224302.

It is a happy number.

2034225432 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 225 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2034225396 and 2034225405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034225437) 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 11 ways as a sum of consecutive naturals, for example, 612543 + ... + 615854.

It is an arithmetic number, because the mean of its divisors is an integer number (119768805).

Almost surely, 22034225432 is an apocalyptic number.

It is an amenable number.

2034225432 is an abundant number, since it is smaller than the sum of its proper divisors (3714677208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2034225432 is a wasteful number, since it uses less digits than its factorization.

2034225432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228432 (or 1228425 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2034225432 is about 45102.3883181368. The cubic root of 2034225432 is about 1267.0673298844.

Adding to 2034225432 its reverse (2345224302), we get a palindrome (4379449734).

The spelling of 2034225432 in words is "two billion, thirty-four million, two hundred twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 1228397 2456794 3685191 4913588 7370382 9827176 11055573 14740764 22111146 28253131 29481528 44222292 56506262 84759393 88444584 113012524 169518786 226025048 254278179 339037572 508556358 678075144 1017112716 2034225432