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3223355240 = 235722371503
BaseRepresentation
bin1100000000100000…
…0111111101101000
322022122022102010102
43000020013331220
523100134331430
61251503404532
7142610032100
oct30010077550
98278272112
103223355240
111404555556
1275b5b3748
133c4a581c1
14228148200
1513ceb3345
hexc0207f68

3223355240 has 96 divisors (see below), whose sum is σ = 8803572480. Its totient is φ = 1057085568.

The previous prime is 3223355237. The next prime is 3223355243. The reversal of 3223355240 is 425533223.

It is an interprime number because it is at equal distance from previous prime (3223355237) and next prime (3223355243).

It is a super-3 number, since 3×32233552403 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3223355243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9329 + ... + 80831.

It is an arithmetic number, because the mean of its divisors is an integer number (91703880).

Almost surely, 23223355240 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 3223355240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401786240).

3223355240 is an abundant number, since it is smaller than the sum of its proper divisors (5580217240).

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

3223355240 is a wasteful number, since it uses less digits than its factorization.

3223355240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71551 (or 71540 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

The square root of 3223355240 is about 56774.6003068273. The cubic root of 3223355240 is about 1477.1889727739.

Adding to 3223355240 its reverse (425533223), we get a palindrome (3648888463).

The spelling of 3223355240 in words is "three billion, two hundred twenty-three million, three hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 56 70 92 98 115 140 161 184 196 230 245 280 322 392 460 490 644 805 920 980 1127 1288 1610 1960 2254 3220 4508 5635 6440 9016 11270 22540 45080 71503 143006 286012 357515 500521 572024 715030 1001042 1430060 1644569 2002084 2502605 2860120 3289138 3503647 4004168 5005210 6578276 7007294 8222845 10010420 11511983 13156552 14014588 16445690 17518235 20020840 23023966 28029176 32891380 35036470 46047932 57559915 65782760 70072940 80583881 92095864 115119830 140145880 161167762 230239660 322335524 402919405 460479320 644671048 805838810 1611677620 3223355240