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2010220140 = 2235198831997
BaseRepresentation
bin111011111010001…
…1000011001101100
312012002120202121210
41313310120121230
513104104021030
6531245554420
7100546406055
oct16764303154
95162522553
102010220140
11941798165
12481275a10
13260615196
14150d9972c
15bb730bb0
hex77d1866c

2010220140 has 96 divisors (see below), whose sum is σ = 5934539520. Its totient is φ = 507015936.

The previous prime is 2010220133. The next prime is 2010220237. The reversal of 2010220140 is 410220102.

It is a super-2 number, since 2×20102201402 = 8081970022523239200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1005622 + ... + 1007618.

It is an arithmetic number, because the mean of its divisors is an integer number (61818120).

Almost surely, 22010220140 is an apocalyptic number.

2010220140 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 2010220140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967269760).

2010220140 is an abundant number, since it is smaller than the sum of its proper divisors (3924319380).

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

2010220140 is a wasteful number, since it uses less digits than its factorization.

2010220140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2010220140 is about 44835.4785856023. The cubic root of 2010220140 is about 1262.0634995923.

Adding to 2010220140 its reverse (410220102), we get a palindrome (2420440242).

The spelling of 2010220140 in words is "two billion, ten million, two hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 883 1140 1766 1997 2649 3532 3994 4415 5298 5991 7988 8830 9985 10596 11982 13245 16777 17660 19970 23964 26490 29955 33554 37943 39940 50331 52980 59910 67108 75886 83885 100662 113829 119820 151772 167770 189715 201324 227658 251655 335540 379430 455316 503310 569145 758860 1006620 1138290 1763351 2276580 3526702 5290053 7053404 8816755 10580106 17633510 21160212 26450265 33503669 35267020 52900530 67007338 100511007 105801060 134014676 167518345 201022014 335036690 402044028 502555035 670073380 1005110070 2010220140