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2002022402394 = 23719231071019423
BaseRepresentation
bin11101001000100001110…
…101011000100101011010
321002101120101100112111110
4131020201311120211122
5230300120213334034
64131414424041150
7264432660432660
oct35104165304532
97071511315443
102002022402394
117020644a9723
122840093031b6
13116a36553491
146cc812dac30
1537125817de9
hex1d221d5895a

2002022402394 has 128 divisors (see below), whose sum is σ = 5073306255360. Its totient is φ = 513495094464.

The previous prime is 2002022402383. The next prime is 2002022402399. The reversal of 2002022402394 is 4932042202002.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002022402399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1454167 + ... + 2473589.

It is an arithmetic number, because the mean of its divisors is an integer number (39635205120).

Almost surely, 22002022402394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002022402394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536653127680).

2002022402394 is an abundant number, since it is smaller than the sum of its proper divisors (3071283852966).

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

2002022402394 is a wasteful number, since it uses less digits than its factorization.

2002022402394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019584.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2002022402394 its reverse (4932042202002), we get a palindrome (6934064604396).

The spelling of 2002022402394 in words is "two trillion, two billion, twenty-two million, four hundred two thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 107 114 133 138 161 214 266 321 322 399 437 483 642 749 798 874 966 1311 1498 2033 2247 2461 2622 3059 4066 4494 4922 6099 6118 7383 9177 12198 14231 14766 17227 18354 28462 34454 42693 46759 51681 85386 93518 103362 140277 280554 327313 654626 981939 1019423 1963878 2038846 3058269 6116538 7135961 14271922 19369037 21407883 23446729 38738074 42815766 46893458 58107111 70340187 109078261 116214222 135583259 140680374 164127103 218156522 271166518 327234783 328254206 406749777 445487851 492381309 654469566 763547827 813499554 890975702 984762618 1336463553 1527095654 2072486959 2290643481 2508800003 2672927106 3118414957 4144973918 4581286962 5017600006 6217460877 6236829914 7526400009 9355244871 12434921754 14507408713 15052800018 17561600021 18710489742 29014817426 35123200042 43522226139 47667200057 52684800063 87044452278 95334400114 105369600126 143001600171 286003200342 333670400399 667340800798 1001011201197 2002022402394