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3225554432 = 2917221799
BaseRepresentation
bin1100000001000010…
…0000111000000000
322022210110010211222
43000100200320000
523101220220212
61252022454212
7142634521532
oct30020407000
98283403758
103225554432
111405817871
12760294368
133c53481b9
1422855b852
1513d299c72
hexc0420e00

3225554432 has 60 divisors (see below), whose sum is σ = 6846529800. Its totient is φ = 1517838336.

The previous prime is 3225554417. The next prime is 3225554459. The reversal of 3225554432 is 2344555223.

It is a junction number, because it is equal to n+sod(n) for n = 3225554392 and 3225554401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 137069 + ... + 158867.

It is an arithmetic number, because the mean of its divisors is an integer number (114108830).

Almost surely, 23225554432 is an apocalyptic number.

3225554432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423264900).

3225554432 is an abundant number, since it is smaller than the sum of its proper divisors (3620975368).

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

3225554432 is an equidigital number, since it uses as much as digits as its factorization.

3225554432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21851 (or 21818 counting only the distinct ones).

The product of its digits is 144000, while the sum is 35.

The square root of 3225554432 is about 56793.9647497866. The cubic root of 3225554432 is about 1477.5248426361.

The spelling of 3225554432 in words is "three billion, two hundred twenty-five million, five hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1088 1156 2176 2312 4352 4624 8704 9248 18496 21799 36992 43598 73984 87196 147968 174392 348784 370583 697568 741166 1395136 1482332 2790272 2964664 5580544 5929328 6299911 11161088 11858656 12599822 23717312 25199644 47434624 50399288 94869248 100798576 189738496 201597152 403194304 806388608 1612777216 3225554432