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3225466088 = 23132389109139
BaseRepresentation
bin1100000001000000…
…1011010011101000
322022210021122122222
43000100023103220
523101204403323
61252020533212
7142634003135
oct30020132350
98283248588
103225466088
111405767459
12760251208
133c5316c20
1422853758c
1513d27d9c8
hexc040b4e8

3225466088 has 128 divisors (see below), whose sum is σ = 6985440000. Its totient is φ = 1384998912.

The previous prime is 3225466081. The next prime is 3225466109. The reversal of 3225466088 is 8806645223.

It is not an unprimeable number, because it can be changed into a prime (3225466081) 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 31 ways as a sum of consecutive naturals, for example, 23204723 + ... + 23204861.

It is an arithmetic number, because the mean of its divisors is an integer number (54573750).

Almost surely, 23225466088 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 3225466088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492720000).

3225466088 is an abundant number, since it is smaller than the sum of its proper divisors (3759973912).

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

3225466088 is a wasteful number, since it uses less digits than its factorization.

3225466088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The square root of 3225466088 is about 56793.1869857644. The cubic root of 3225466088 is about 1477.5113533121.

The spelling of 3225466088 in words is "three billion, two hundred twenty-five million, four hundred sixty-six thousand, eighty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 89 92 104 109 139 178 184 218 278 299 356 436 556 598 712 872 1112 1157 1196 1417 1807 2047 2314 2392 2507 2834 3197 3614 4094 4628 5014 5668 6394 7228 8188 9256 9701 10028 11336 12371 12788 14456 15151 16376 19402 20056 24742 25576 26611 30302 32591 38804 41561 49484 53222 60604 65182 77608 83122 98968 106444 121208 126113 130364 160823 166244 196963 212888 223123 252226 260728 284533 321646 332488 348473 393926 446246 504452 569066 643292 696946 787852 892492 1008904 1138132 1286584 1348439 1393892 1575704 1784984 2276264 2696878 2787784 2900599 3698929 4530149 5393756 5801198 7397858 9060298 10787512 11602396 14795716 17529707 18120596 23204792 29591432 31014097 35059414 36241192 62028194 70118828 124056388 140237656 248112776 403183261 806366522 1612733044 3225466088