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3303225040 = 2452311315887
BaseRepresentation
bin1100010011100011…
…0011011011010000
322112012121012220011
43010320303123100
523231111200130
61303435324304
7144566643463
oct30470633320
98465535804
103303225040
111445647955
127822b0694
1340847123b
142349b92da
15144edd52a
hexc4e336d0

3303225040 has 80 divisors (see below), whose sum is σ = 8085339648. Its totient is φ = 1252579328.

The previous prime is 3303225007. The next prime is 3303225059. The reversal of 3303225040 is 405223033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33032250402 = 21822591329766003200, which contains 22 as substring.

It is a congruent number.

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, 199977 + ... + 215863.

Almost surely, 23303225040 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 3303225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042669824).

3303225040 is an abundant number, since it is smaller than the sum of its proper divisors (4782114608).

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

3303225040 is a wasteful number, since it uses less digits than its factorization.

3303225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16036 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 3303225040 is about 57473.6899807207. The cubic root of 3303225040 is about 1489.2903907496.

Adding to 3303225040 its reverse (405223033), we get a palindrome (3708448073).

The spelling of 3303225040 in words is "three billion, three hundred three million, two hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 113 115 184 226 230 368 452 460 565 904 920 1130 1808 1840 2260 2599 4520 5198 9040 10396 12995 15887 20792 25990 31774 41584 51980 63548 79435 103960 127096 158870 207920 254192 317740 365401 635480 730802 1270960 1461604 1795231 1827005 2923208 3590462 3654010 5846416 7180924 7308020 8976155 14361848 14616040 17952310 28723696 29232080 35904620 41290313 71809240 82580626 143618480 165161252 206451565 330322504 412903130 660645008 825806260 1651612520 3303225040