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2223313014040 = 235372081721883
BaseRepresentation
bin100000010110100111110…
…010000100110100011000
321212112202111200100120221
4200112213302010310120
5242411321112422130
64421213105525424
7316425524543026
oct40264762046430
97775674610527
102223313014040
117879a1264538
122baa87043874
13131871748bc1
1479874c5d716
153cc77e9187a
hex205a7c84d18

2223313014040 has 64 divisors (see below), whose sum is σ = 5140131708960. Its totient is φ = 864872386560.

The previous prime is 2223313013981. The next prime is 2223313014047. The reversal of 2223313014040 is 404103133222.

It is a junction number, because it is equal to n+sod(n) for n = 2223313013996 and 2223313014014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223313014047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2718939 + ... + 3440821.

Almost surely, 22223313014040 is an apocalyptic number.

2223313014040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223313014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570065854480).

2223313014040 is an abundant number, since it is smaller than the sum of its proper divisors (2916818694920).

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

2223313014040 is a wasteful number, since it uses less digits than its factorization.

2223313014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724012 (or 724008 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 2223313014040 its reverse (404103133222), we get a palindrome (2627416147262).

The spelling of 2223313014040 in words is "two trillion, two hundred twenty-three billion, three hundred thirteen million, fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2081 4162 8324 10405 16648 20810 41620 76997 83240 153994 307988 384985 615976 721883 769970 1443766 1539940 2887532 3079880 3609415 5775064 7218830 14437660 26709671 28875320 53419342 106838684 133548355 213677368 267096710 534193420 1068386840 1502238523 3004477046 6008954092 7511192615 12017908184 15022385230 30044770460 55582825351 60089540920 111165650702 222331301404 277914126755 444662602808 555828253510 1111656507020 2223313014040