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32005225040 = 2451133540401
BaseRepresentation
bin11101110011101010…
…001111101001010000
310001121111110220000012
4131303222033221100
51011021314200130
622411503014052
72212055631665
oct356352175120
9101544426005
1032005225040
111263412a308
12625259a328
13303094b7a9
1417988a3a6c
15c74bbe995
hex773a8fa50

32005225040 has 40 divisors (see below), whose sum is σ = 75070684008. Its totient is φ = 12688793600.

The previous prime is 32005225027. The next prime is 32005225067. The reversal of 32005225040 is 4052250023.

It can be written as a sum of positive squares in 4 ways, for example, as 3000410176 + 29004814864 = 54776^2 + 170308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×320052250402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32005224997 and 32005225015.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1761161 + ... + 1779240.

Almost surely, 232005225040 is an apocalyptic number.

It is an amenable number.

32005225040 is an abundant number, since it is smaller than the sum of its proper divisors (43065458968).

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

32005225040 is a wasteful number, since it uses less digits than its factorization.

32005225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540527 (or 3540521 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

Adding to 32005225040 its reverse (4052250023), we get a palindrome (36057475063).

The spelling of 32005225040 in words is "thirty-two billion, five million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 3540401 7080802 14161604 17702005 28323208 35404010 56646416 70808020 141616040 283232080 400065313 800130626 1600261252 2000326565 3200522504 4000653130 6401045008 8001306260 16002612520 32005225040