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2002620224 = 261114871913
BaseRepresentation
bin111011101011101…
…1000111101000000
312011120021122111102
41313113120331000
513100132321344
6530415033532
7100424663633
oct16727307500
95146248442
102002620224
11938477240
1247a80b8a8
1325bb83ba7
1414dd7bc1a
15bac2de4e
hex775d8f40

2002620224 has 56 divisors (see below), whose sum is σ = 4340400768. Its totient is φ = 909194240.

The previous prime is 2002620173. The next prime is 2002620229. The reversal of 2002620224 is 4220262002.

It is a junction number, because it is equal to n+sod(n) for n = 2002620196 and 2002620205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002620229) 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 7 ways as a sum of consecutive naturals, for example, 1045892 + ... + 1047804.

Almost surely, 22002620224 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 2002620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170200384).

2002620224 is an abundant number, since it is smaller than the sum of its proper divisors (2337780544).

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

2002620224 is a wasteful number, since it uses less digits than its factorization.

2002620224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2002620224 is about 44750.6449562462. The cubic root of 2002620224 is about 1260.4710223518.

Adding to 2002620224 its reverse (4220262002), we get a palindrome (6222882226).

It can be divided in two parts, 2002 and 620224, that added together give a palindrome (622226).

The spelling of 2002620224 in words is "two billion, two million, six hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1487 1913 2974 3826 5948 7652 11896 15304 16357 21043 23792 30608 32714 42086 47584 61216 65428 84172 95168 122432 130856 168344 261712 336688 523424 673376 1046848 1346752 2844631 5689262 11378524 22757048 31290941 45514096 62581882 91028192 125163764 182056384 250327528 500655056 1001310112 2002620224