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3225305226 = 23111323353463
BaseRepresentation
bin1100000000111110…
…0100000010001010
322022202222111000010
43000033210002022
523101134231401
61252013252350
7142632433143
oct30017440212
98282874003
103225305226
111405667610
127601940b6
133c528b940
142284d4aca
1513d24aed6
hexc03e408a

3225305226 has 128 divisors (see below), whose sum is σ = 7947362304. Its totient is φ = 858654720.

The previous prime is 3225305201. The next prime is 3225305227. The reversal of 3225305226 is 6225035223.

It is a super-2 number, since 2×32253052262 = 20805187601725822152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3225305193 and 3225305202.

It is not an unprimeable number, because it can be changed into a prime (3225305227) 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 63 ways as a sum of consecutive naturals, for example, 6965871 + ... + 6966333.

It is an arithmetic number, because the mean of its divisors is an integer number (62088768).

Almost surely, 23225305226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225305226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973681152).

3225305226 is an abundant number, since it is smaller than the sum of its proper divisors (4722057078).

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

3225305226 is a wasteful number, since it uses less digits than its factorization.

3225305226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868.

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3225305226 is about 56791.7707595035. The cubic root of 3225305226 is about 1477.4867905175.

The spelling of 3225305226 in words is "three billion, two hundred twenty-five million, three hundred five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 353 429 463 506 598 706 759 858 897 926 1059 1389 1518 1794 2118 2778 3289 3883 4589 5093 6019 6578 7766 8119 9178 9867 10186 10649 11649 12038 13767 15279 16238 18057 19734 21298 23298 24357 27534 30558 31947 36114 48714 50479 63894 66209 89309 100958 105547 117139 132418 138437 151437 163439 178618 198627 211094 234278 267927 276874 302874 316641 326878 351417 397254 415311 490317 535854 633282 702834 830622 980634 1161017 1522807 1797829 2124707 2322034 3045614 3483051 3595658 3759097 4249414 4568421 5393487 6374121 6966102 7518194 9136842 10786974 11277291 12748242 22554582 23371777 41350067 46743554 48868261 70115331 82700134 97736522 124050201 140230662 146604783 248100402 293209566 537550871 1075101742 1612652613 3225305226