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3223663540 = 225419913967
BaseRepresentation
bin1100000000100101…
…0011001110110100
322022122220002000221
43000021103032310
523100224213130
61251514144124
7142612454656
oct30011231664
98278802027
103223663540
111404746149
1275b722044
133c4b35626
142281c86d6
1513d02487a
hexc02533b4

3223663540 has 48 divisors (see below), whose sum is σ = 6943555584. Its totient is φ = 1256428800.

The previous prime is 3223663529. The next prime is 3223663609. The reversal of 3223663540 is 453663223.

It is a junction number, because it is equal to n+sod(n) for n = 3223663496 and 3223663505.

It is a congruent number.

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, 810637 + ... + 814603.

It is an arithmetic number, because the mean of its divisors is an integer number (144657408).

Almost surely, 23223663540 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 3223663540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3471777792).

3223663540 is an abundant number, since it is smaller than the sum of its proper divisors (3719892044).

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

3223663540 is a wasteful number, since it uses less digits than its factorization.

3223663540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5006 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The square root of 3223663540 is about 56777.3153645010. The cubic root of 3223663540 is about 1477.2360668531.

The spelling of 3223663540 in words is "three billion, two hundred twenty-three million, six hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 991 1982 3964 3967 4955 7934 9910 15868 19820 19835 39670 40631 79340 81262 162524 162647 203155 325294 406310 650588 812620 813235 1626470 3252940 3931297 7862594 15725188 19656485 39312970 78625940 161183177 322366354 644732708 805915885 1611831770 3223663540