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2002021296 = 2431115724151
BaseRepresentation
bin111011101010100…
…0110101110110000
312011112011012220220
41313111012232300
513100004140141
6530354133040
7100416620532
oct16725065660
95145135826
102002021296
119380a8260
1247a581180
1325ba043b2
1414dc63852
15bab61766
hex77546bb0

2002021296 has 80 divisors (see below), whose sum is σ = 5678231808. Its totient is φ = 602784000.

The previous prime is 2002021289. The next prime is 2002021319. The reversal of 2002021296 is 6921202002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 70821 + ... + 94971.

Almost surely, 22002021296 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 2002021296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839115904).

2002021296 is an abundant number, since it is smaller than the sum of its proper divisors (3676210512).

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

2002021296 is a wasteful number, since it uses less digits than its factorization.

2002021296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24330 (or 24324 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2002021296 is about 44743.9526193205. The cubic root of 2002021296 is about 1260.3453525498.

Adding to 2002021296 its reverse (6921202002), we get a palindrome (8923223298).

The spelling of 2002021296 in words is "two billion, two million, twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 157 176 264 314 471 528 628 942 1256 1727 1884 2512 3454 3768 5181 6908 7536 10362 13816 20724 24151 27632 41448 48302 72453 82896 96604 144906 193208 265661 289812 386416 531322 579624 796983 1062644 1159248 1593966 2125288 3187932 3791707 4250576 6375864 7583414 11375121 12751728 15166828 22750242 30333656 41708777 45500484 60667312 83417554 91000968 125126331 166835108 182001936 250252662 333670216 500505324 667340432 1001010648 2002021296