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2002223120 = 245167149867
BaseRepresentation
bin111011101010111…
…1000000000010000
312011112112110202212
41313111320000100
513100032114440
6530402331252
7100421421122
oct16725700020
95145473685
102002223120
11938225957
1247a659b28
1325ba75211
1414dcb7212
15baba1465
hex77578010

2002223120 has 40 divisors (see below), whose sum is σ = 4683075264. Its totient is φ = 796088192.

The previous prime is 2002223107. The next prime is 2002223123. The reversal of 2002223120 is 213222002.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2002223095 and 2002223104.

It is not an unprimeable number, because it can be changed into a prime (2002223123) 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 7 ways as a sum of consecutive naturals, for example, 61574 + ... + 88293.

Almost surely, 22002223120 is an apocalyptic number.

2002223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002223120 is an abundant number, since it is smaller than the sum of its proper divisors (2680852144).

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

2002223120 is a wasteful number, since it uses less digits than its factorization.

2002223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150047 (or 150041 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2002223120 is about 44746.2078840207. The cubic root of 2002223120 is about 1260.3877029807.

Adding to 2002223120 its reverse (213222002), we get a palindrome (2215445122).

The spelling of 2002223120 in words is "two billion, two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 149867 299734 599468 749335 1198936 1498670 2397872 2997340 5994680 11989360 25027789 50055578 100111156 125138945 200222312 250277890 400444624 500555780 1001111560 2002223120