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2000334402 = 2321119619859
BaseRepresentation
bin111011100111010…
…1010111001000010
312011101222111221100
41313032222321002
513044041200102
6530254035230
7100366363503
oct16716527102
95141874840
102000334402
11937155930
12479aa8b16
1325b563631
1414d944baa
15ba92ba1c
hex773aae42

2000334402 has 96 divisors (see below), whose sum is σ = 4990752000. Its totient is φ = 572663520.

The previous prime is 2000334389. The next prime is 2000334419. The reversal of 2000334402 is 2044330002.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 2328249 + ... + 2329107.

It is an arithmetic number, because the mean of its divisors is an integer number (51987000).

Almost surely, 22000334402 is an apocalyptic number.

2000334402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000334402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495376000).

2000334402 is an abundant number, since it is smaller than the sum of its proper divisors (2990417598).

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

2000334402 is a wasteful number, since it uses less digits than its factorization.

2000334402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2000334402 is about 44725.0981217482. The cubic root of 2000334402 is about 1259.9912660014.

Adding to 2000334402 its reverse (2044330002), we get a palindrome (4044664404).

The spelling of 2000334402 in words is "two billion, three hundred thirty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 619 627 859 1238 1254 1718 1857 1881 2577 3714 3762 5154 5571 6809 7731 9449 11142 11761 13618 15462 16321 18898 20427 23522 28347 32642 35283 40854 48963 56694 61281 70566 85041 97926 105849 122562 129371 146889 170082 179531 211698 258742 293778 359062 388113 531721 538593 776226 1063442 1077186 1164339 1595163 1615779 2328678 3190326 3231558 4785489 5848931 9570978 10102699 11697862 17546793 20205398 30308097 35093586 52640379 60616194 90924291 105280758 111129689 181848582 222259378 333389067 666778134 1000167201 2000334402