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2001443620 = 2251122674013
BaseRepresentation
bin111011101001011…
…1001101100100100
312011111001212111111
41313102321230210
513044332143440
6530333514404
7100411663411
oct16722715444
95144055444
102001443620
11937843240
1247a342a04
1325b861487
1414db53108
15baa9a4ea
hex774b9b24

2001443620 has 48 divisors (see below), whose sum is σ = 4588291008. Its totient is φ = 727295360.

The previous prime is 2001443581. The next prime is 2001443623. The reversal of 2001443620 is 263441002.

It is a happy number.

It is a super-3 number, since 3×20014436203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2001443591 and 2001443600.

It is not an unprimeable number, because it can be changed into a prime (2001443623) 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, 496734 + ... + 500746.

It is an arithmetic number, because the mean of its divisors is an integer number (95589396).

Almost surely, 22001443620 is an apocalyptic number.

2001443620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001443620 is an abundant number, since it is smaller than the sum of its proper divisors (2586847388).

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

2001443620 is a wasteful number, since it uses less digits than its factorization.

2001443620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6298 counting only the distinct ones).

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

The square root of 2001443620 is about 44737.4968007822. The cubic root of 2001443620 is about 1260.2241181917.

Adding to 2001443620 its reverse (263441002), we get a palindrome (2264884622).

The spelling of 2001443620 in words is "two billion, one million, four hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2267 4013 4534 8026 9068 11335 16052 20065 22670 24937 40130 44143 45340 49874 80260 88286 99748 124685 176572 220715 249370 441430 498740 882860 9097471 18194942 36389884 45487355 90974710 100072181 181949420 200144362 400288724 500360905 1000721810 2001443620