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3311224420 = 2257672231583
BaseRepresentation
bin1100010101011101…
…0100011001100100
322112202122121222111
43011113110121210
523240133140140
61304323010404
7145024641340
oct30527243144
98482577874
103311224420
11144a110a09
12784b09a04
1340a0122ba
14235a9c620
15145a6d7ea
hexc55d4664

3311224420 has 96 divisors (see below), whose sum is σ = 8106835968. Its totient is φ = 1112614272.

The previous prime is 3311224403. The next prime is 3311224429. The reversal of 3311224420 is 244221133.

It is a junction number, because it is equal to n+sod(n) for n = 3311224391 and 3311224400.

It is not an unprimeable number, because it can be changed into a prime (3311224429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2090949 + ... + 2092531.

It is an arithmetic number, because the mean of its divisors is an integer number (84446208).

Almost surely, 23311224420 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 3311224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053417984).

3311224420 is an abundant number, since it is smaller than the sum of its proper divisors (4795611548).

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

3311224420 is a wasteful number, since it uses less digits than its factorization.

3311224420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3311224420 is about 57543.2395681717. The cubic root of 3311224420 is about 1490.4916204261.

Adding to 3311224420 its reverse (244221133), we get a palindrome (3555445553).

The spelling of 3311224420 in words is "three billion, three hundred eleven million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 223 268 335 446 469 670 892 938 1115 1340 1561 1583 1876 2230 2345 3122 3166 4460 4690 6244 6332 7805 7915 9380 11081 14941 15610 15830 22162 29882 31220 31660 44324 55405 59764 74705 104587 106061 110810 149410 209174 212122 221620 298820 353009 418348 424244 522935 530305 706018 742427 1045870 1060610 1412036 1484854 1765045 2091740 2121220 2471063 2969708 3530090 3712135 4942126 7060180 7424270 9884252 12355315 14848540 23651603 24710630 47303206 49421260 94606412 118258015 165561221 236516030 331122442 473032060 662244884 827806105 1655612210 3311224420