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3225256420 = 2252319735591
BaseRepresentation
bin1100000000111101…
…1000000111100100
322022202220000001111
43000033120013210
523101131201140
61252012234404
7142632140641
oct30017300744
98282800044
103225256420
111405633981
1276016ba04
133c5272669
142284c0dc8
1513d23b7ea
hexc03d81e4

3225256420 has 48 divisors (see below), whose sum is σ = 7103593728. Its totient is φ = 1227712640.

The previous prime is 3225256379. The next prime is 3225256457. The reversal of 3225256420 is 246525223.

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 15 ways as a sum of consecutive naturals, for example, 72825 + ... + 108415.

It is an arithmetic number, because the mean of its divisors is an integer number (147991536).

Almost surely, 23225256420 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 3225256420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551796864).

3225256420 is an abundant number, since it is smaller than the sum of its proper divisors (3878337308).

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

3225256420 is a wasteful number, since it uses less digits than its factorization.

3225256420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35820 (or 35818 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 3225256420 is about 56791.3410653420. The cubic root of 3225256420 is about 1477.4793379325.

The spelling of 3225256420 in words is "three billion, two hundred twenty-five million, two hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 197 230 394 460 788 985 1970 3940 4531 9062 18124 22655 35591 45310 71182 90620 142364 177955 355910 711820 818593 1637186 3274372 4092965 7011427 8185930 14022854 16371860 28045708 35057135 70114270 140228540 161262821 322525642 645051284 806314105 1612628210 3225256420