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3225830832 = 2436739509
BaseRepresentation
bin1100000001000110…
…0100010110110000
322022210222012000000
43000101210112300
523101303041312
61252032430000
7142640052420
oct30021442660
98283865000
103225830832
1114059964a4
127603a8300
133c5413c53
142285d0480
1513d301adc
hexc04645b0

3225830832 has 140 divisors (see below), whose sum is σ = 10709738640. Its totient is φ = 921642624.

The previous prime is 3225830831. The next prime is 3225830837. The reversal of 3225830832 is 2380385223.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3225830831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 61894 + ... + 101402.

Almost surely, 23225830832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225830832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354869320).

3225830832 is an abundant number, since it is smaller than the sum of its proper divisors (7483907808).

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

3225830832 is an equidigital number, since it uses as much as digits as its factorization.

3225830832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39542 (or 39521 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3225830832 is about 56796.3980548063. The cubic root of 3225830832 is about 1477.5670448074.

The spelling of 3225830832 in words is "three billion, two hundred twenty-five million, eight hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2268 2916 3024 3402 3888 4536 5103 5832 6804 9072 10206 11664 13608 20412 27216 39509 40824 79018 81648 118527 158036 237054 276563 316072 355581 474108 553126 632144 711162 829689 948216 1066743 1106252 1422324 1659378 1896432 2133486 2212504 2489067 2844648 3200229 3318756 4266972 4425008 4978134 5689296 6400458 6637512 7467201 8533944 9600687 9956268 12800916 13275024 14934402 17067888 19201374 19912536 22401603 25601832 28802061 29868804 38402748 39825072 44803206 51203664 57604122 59737608 67204809 76805496 89606412 115208244 119475216 134409618 153610992 179212824 201614427 230416488 268819236 358425648 403228854 460832976 537638472 806457708 1075276944 1612915416 3225830832