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3222435040 = 255114214349
BaseRepresentation
bin1100000000010010…
…0111010011100000
322022120120122211221
43000010213103200
523044420410130
61251431544424
7142566150226
oct30004472340
98276518757
103222435040
111403a87160
1275b22b114
133c47c53c6
14227d88b16
1513cd8087a
hexc01274e0

3222435040 has 96 divisors (see below), whose sum is σ = 8326735200. Its totient is φ = 1168742400.

The previous prime is 3222435019. The next prime is 3222435061. The reversal of 3222435040 is 405342223.

It is an interprime number because it is at equal distance from previous prime (3222435019) and next prime (3222435061).

It is a junction number, because it is equal to n+sod(n) for n = 3222434996 and 3222435014.

It is a congruent number.

It is an unprimeable number.

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, 738786 + ... + 743134.

It is an arithmetic number, because the mean of its divisors is an integer number (86736825).

Almost surely, 23222435040 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 3222435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163367600).

3222435040 is an abundant number, since it is smaller than the sum of its proper divisors (5104300160).

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

3222435040 is a wasteful number, since it uses less digits than its factorization.

3222435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3222435040 is about 56766.4957523362. The cubic root of 3222435040 is about 1477.0483906202.

Adding to 3222435040 its reverse (405342223), we get a palindrome (3627777263).

The spelling of 3222435040 in words is "three billion, two hundred twenty-two million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 421 440 842 880 1684 1760 2105 3368 4210 4349 4631 6736 8420 8698 9262 13472 16840 17396 18524 21745 23155 33680 34792 37048 43490 46310 47839 67360 69584 74096 86980 92620 95678 139168 148192 173960 185240 191356 239195 347920 370480 382712 478390 695840 740960 765424 956780 1530848 1830929 1913560 3661858 3827120 7323716 7654240 9154645 14647432 18309290 20140219 29294864 36618580 40280438 58589728 73237160 80560876 100701095 146474320 161121752 201402190 292948640 322243504 402804380 644487008 805608760 1611217520 3222435040