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2002002222200 = 2352172281258143
BaseRepresentation
bin11101001000100000101…
…000011001110001111000
321002101111222101021110212
4131020200220121301320
5230300100032102300
64131412423330252
7264432324053411
oct35104050316170
97071458337425
102002002222200
11702054075a82
122840025b0988
13116a32309036
146cc7c766808
1537123b7d935
hex1d220a19c78

2002002222200 has 96 divisors (see below), whose sum is σ = 4930638168960. Its totient is φ = 753361612800.

The previous prime is 2002002222163. The next prime is 2002002222271. The reversal of 2002002222200 is 22222002002.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 7626329 + ... + 7884471.

It is an arithmetic number, because the mean of its divisors is an integer number (51360814260).

Almost surely, 22002002222200 is an apocalyptic number.

2002002222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002002222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465319084480).

2002002222200 is an abundant number, since it is smaller than the sum of its proper divisors (2928635946760).

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

2002002222200 is a wasteful number, since it uses less digits than its factorization.

2002002222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260457 (or 260448 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 2002002222200 its reverse (22222002002), we get a palindrome (2024224224202).

The spelling of 2002002222200 in words is "two trillion, two billion, two million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 2281 3400 4562 9124 11405 18248 22810 38777 45620 57025 77554 91240 114050 155108 193885 228100 258143 310216 387770 456200 516286 775540 969425 1032572 1290715 1551080 1938850 2065144 2581430 3877700 4388431 5162860 6453575 7755400 8776862 10325720 12907150 17553724 21942155 25814300 35107448 43884310 51628600 87768620 109710775 175537240 219421550 438843100 588824183 877686200 1177648366 2355296732 2944120915 4710593464 5888241830 10010011111 11776483660 14720604575 20020022222 23552967320 29441209150 40040044444 50050055555 58882418300 80080088888 100100111110 117764836600 200200222220 250250277775 400400444440 500500555550 1001001111100 2002002222200