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3223404540 = 2232522778889
BaseRepresentation
bin1100000000100001…
…0011111111111100
322022122101220202100
43000020103333330
523100142421130
61251504425100
7142610325606
oct30010237774
98278356670
103223404540
1114045895a4
1275b618190
133c4a74785
1422815c176
1513cec2c60
hexc0213ffc

3223404540 has 72 divisors (see below), whose sum is σ = 9820858320. Its totient is φ = 855777024.

The previous prime is 3223404539. The next prime is 3223404551. The reversal of 3223404540 is 454043223.

3223404540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32234045402 = 20780673656985223200, 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 23 ways as a sum of consecutive naturals, for example, 1416 + ... + 80304.

It is an arithmetic number, because the mean of its divisors is an integer number (136400810).

Almost surely, 23223404540 is an apocalyptic number.

3223404540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223404540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910429160).

3223404540 is an abundant number, since it is smaller than the sum of its proper divisors (6597453780).

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

3223404540 is a wasteful number, since it uses less digits than its factorization.

3223404540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79131 (or 79126 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3223404540 is about 56775.0344781930. The cubic root of 3223404540 is about 1477.1965037511.

Adding to 3223404540 its reverse (454043223), we get a palindrome (3677447763).

The spelling of 3223404540 in words is "three billion, two hundred twenty-three million, four hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 454 681 908 1135 1362 2043 2270 2724 3405 4086 4540 6810 8172 10215 13620 20430 40860 78889 157778 236667 315556 394445 473334 710001 788890 946668 1183335 1420002 1577780 2366670 2840004 3550005 4733340 7100010 14200020 17907803 35815606 53723409 71631212 89539015 107446818 161170227 179078030 214893636 268617045 322340454 358156060 537234090 644680908 805851135 1074468180 1611702270 3223404540