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2002326414 = 23111011392161
BaseRepresentation
bin111011101011001…
…0001001110001110
312011112201201110120
41313112101032032
513100043421124
6530404445410
7100422331224
oct16726211616
95145651416
102002326414
11938296520
1247a6a9866
1325bab023a
1414dd02b14
15babc1d79
hex7759138e

2002326414 has 64 divisors (see below), whose sum is σ = 4445763840. Its totient is φ = 596160000.

The previous prime is 2002326409. The next prime is 2002326421. The reversal of 2002326414 is 4146232002.

It is a super-2 number, since 2×20023264142 = 8018622136404198792, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 925494 + ... + 927654.

It is an arithmetic number, because the mean of its divisors is an integer number (69465060).

Almost surely, 22002326414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002326414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222881920).

2002326414 is an abundant number, since it is smaller than the sum of its proper divisors (2443437426).

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

2002326414 is a wasteful number, since it uses less digits than its factorization.

2002326414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2002326414 is about 44747.3620898484. The cubic root of 2002326414 is about 1260.4093769302.

Adding to 2002326414 its reverse (4146232002), we get a palindrome (6148558416).

The spelling of 2002326414 in words is "two billion, two million, three hundred twenty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 101 139 202 278 303 417 606 834 1111 1529 2161 2222 3058 3333 4322 4587 6483 6666 9174 12966 14039 23771 28078 42117 47542 71313 84234 142626 154429 218261 300379 308858 436522 463287 600758 654783 901137 926574 1309566 1802274 2400871 3304169 4801742 6608338 7202613 9912507 14405226 19825014 30338279 60676558 91014837 182029674 333721069 667442138 1001163207 2002326414