Search a number
-
+
3225109056 = 263133141681
BaseRepresentation
bin1100000000111011…
…0100001001000000
322022202121111220120
43000032310021000
523101111442211
61252005140240
7142630655211
oct30016641100
98282544816
103225109056
111405543194
127600ba680
133c5220570
14228483408
1513d20cd06
hexc03b4240

3225109056 has 112 divisors (see below), whose sum is σ = 9486156288. Its totient is φ = 960307200.

The previous prime is 3225109037. The next prime is 3225109103. The reversal of 3225109056 is 6509015223.

It is a super-2 number, since 2×32251090562 = 20802656846186422272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56536 + ... + 98216.

It is an arithmetic number, because the mean of its divisors is an integer number (84697824).

Almost surely, 23225109056 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 3225109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743078144).

3225109056 is an abundant number, since it is smaller than the sum of its proper divisors (6261047232).

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

3225109056 is a wasteful number, since it uses less digits than its factorization.

3225109056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41740 (or 41730 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 3225109056 is about 56790.0436344259. The cubic root of 3225109056 is about 1477.4568352689.

The spelling of 3225109056 in words is "three billion, two hundred twenty-five million, one hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 9672 12896 19344 25792 38688 41681 77376 83362 125043 166724 250086 333448 500172 541853 666896 1000344 1083706 1292111 1333792 1625559 2000688 2167412 2584222 2667584 3251118 3876333 4001376 4334824 5168444 6502236 7752666 8002752 8669648 10336888 13004472 15505332 16797443 17339296 20673776 26008944 31010664 33594886 34678592 41347552 50392329 52017888 62021328 67189772 82695104 100784658 104035776 124042656 134379544 201569316 248085312 268759088 403138632 537518176 806277264 1075036352 1612554528 3225109056