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3225074440 = 2357192932069
BaseRepresentation
bin1100000000111010…
…1011101100001000
322022202112202102111
43000032223230020
523101104340230
61252004312104
7142630452250
oct30016535410
98282482374
103225074440
11140551a185
127600a2634
133c520a893
14228474960
1513d20292a
hexc03abb08

3225074440 has 128 divisors (see below), whose sum is σ = 8763552000. Its totient is φ = 1043463168.

The previous prime is 3225074431. The next prime is 3225074483. The reversal of 3225074440 is 444705223.

It is a happy number.

It is a super-2 number, since 2×32250744402 = 20802210287082627200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557726 + ... + 1559794.

It is an arithmetic number, because the mean of its divisors is an integer number (68465250).

Almost surely, 23225074440 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 3225074440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381776000).

3225074440 is an abundant number, since it is smaller than the sum of its proper divisors (5538477560).

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

3225074440 is a wasteful number, since it uses less digits than its factorization.

3225074440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 31.

The square root of 3225074440 is about 56789.7388618754. The cubic root of 3225074440 is about 1477.4515492638.

Adding to 3225074440 its reverse (444705223), we get a palindrome (3669779663).

The spelling of 3225074440 in words is "three billion, two hundred twenty-five million, seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 293 380 532 586 665 760 1064 1172 1330 1465 2051 2069 2344 2660 2930 4102 4138 5320 5567 5860 8204 8276 10255 10345 11134 11720 14483 16408 16552 20510 20690 22268 27835 28966 38969 39311 41020 41380 44536 55670 57932 72415 77938 78622 82040 82760 111340 115864 144830 155876 157244 194845 196555 222680 275177 289660 311752 314488 389690 393110 550354 579320 606217 779380 786220 1100708 1212434 1375885 1558760 1572440 2201416 2424868 2751770 3031085 4243519 4849736 5503540 6062170 8487038 11007080 11518123 12124340 16974076 21217595 23036246 24248680 33948152 42435190 46072492 57590615 80626861 84870380 92144984 115181230 161253722 169740760 230362460 322507444 403134305 460724920 645014888 806268610 1612537220 3225074440