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116340222000 = 2435331361949
BaseRepresentation
bin110110001011001101…
…0101110100000110000
3102010021221122121220010
41230112122232200300
53401231044101000
6125240154414520
711256006366462
oct1542632564060
9363257577803
10116340222000
1145381027802
121a66a131440
13ac80c07362
1458b9276132
15305da36d50
hex1b166ae830

116340222000 has 160 divisors (see below), whose sum is σ = 376285291200. Its totient is φ = 30924441600.

The previous prime is 116340221999. The next prime is 116340222013. The reversal of 116340222000 is 222043611.

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, 1847026 + ... + 1908974.

It is an arithmetic number, because the mean of its divisors is an integer number (2351783070).

Almost surely, 2116340222000 is an apocalyptic number.

116340222000 is a gapful number since it is divisible by the number (10) 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 116340222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188142645600).

116340222000 is an abundant number, since it is smaller than the sum of its proper divisors (259945069200).

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

116340222000 is a wasteful number, since it uses less digits than its factorization.

116340222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62288 (or 62272 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 116340222000 its reverse (222043611), we get a palindrome (116562265611).

The spelling of 116340222000 in words is "one hundred sixteen billion, three hundred forty million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 313 375 400 500 600 626 750 939 1000 1200 1252 1500 1565 1878 2000 2504 3000 3130 3756 4695 5008 6000 6260 7512 7825 9390 12520 15024 15650 18780 23475 25040 31300 37560 39125 46950 61949 62600 75120 78250 93900 117375 123898 125200 156500 185847 187800 234750 247796 309745 313000 371694 375600 469500 495592 619490 626000 743388 929235 939000 991184 1238980 1486776 1548725 1858470 1878000 2477960 2973552 3097450 3716940 4646175 4955920 6194900 7433880 7743625 9292350 12389800 14867760 15487250 18584700 19390037 23230875 24779600 30974500 37169400 38780074 46461750 58170111 61949000 74338800 77560148 92923500 96950185 116340222 123898000 155120296 185847000 193900370 232680444 290850555 310240592 371694000 387800740 465360888 484750925 581701110 775601480 930721776 969501850 1163402220 1454252775 1551202960 1939003700 2326804440 2423754625 2908505550 3878007400 4653608880 4847509250 5817011100 7271263875 7756014800 9695018500 11634022200 14542527750 19390037000 23268044400 29085055500 38780074000 58170111000 116340222000