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3223110040 = 235416729333
BaseRepresentation
bin1100000000011100…
…1100000110011000
322022121211221202221
43000013030012120
523100104010130
61251454233424
7142604661163
oct30007140630
98277757687
103223110040
1114043a8307
1275b4b5874
133c49a0707
142280c2ada
1513ce6587a
hexc01cc198

3223110040 has 64 divisors (see below), whose sum is σ = 7540011360. Its totient is φ = 1238983680.

The previous prime is 3223110031. The next prime is 3223110043. The reversal of 3223110040 is 400113223.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3223109996 and 3223110023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223110043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95214 + ... + 124546.

Almost surely, 23223110040 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 3223110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770005680).

3223110040 is an abundant number, since it is smaller than the sum of its proper divisors (4316901320).

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

3223110040 is a wasteful number, since it uses less digits than its factorization.

3223110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29452 (or 29448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3223110040 is about 56772.4408494121. The cubic root of 3223110040 is about 1477.1515153324.

Adding to 3223110040 its reverse (400113223), we get a palindrome (3623223263).

The spelling of 3223110040 in words is "three billion, two hundred twenty-three million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 67 82 134 164 205 268 328 335 410 536 670 820 1340 1640 2680 2747 5494 10988 13735 21976 27470 29333 54940 58666 109880 117332 146665 234664 293330 586660 1173320 1202653 1965311 2405306 3930622 4810612 6013265 7861244 9621224 9826555 12026530 15722488 19653110 24053060 39306220 48106120 78612440 80577751 161155502 322311004 402888755 644622008 805777510 1611555020 3223110040