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2201330010 = 2351125771051
BaseRepresentation
bin1000001100110101…
…1010000101011010
312200102012011002010
42003031122011122
514002020030020
61002234050350
7105356665515
oct20315320532
95612164063
102201330010
11a2a658900
125152799b6
132910a8b49
1416c505d7c
15cd3d0de0
hex8335a15a

2201330010 has 96 divisors (see below), whose sum is σ = 5822744256. Its totient is φ = 532224000.

The previous prime is 2201330009. The next prime is 2201330011. The reversal of 2201330010 is 100331022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2201330009) and next prime (2201330011).

It is not an unprimeable number, because it can be changed into a prime (2201330011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2093985 + ... + 2095035.

It is an arithmetic number, because the mean of its divisors is an integer number (60653586).

Almost surely, 22201330010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911372128).

2201330010 is an abundant number, since it is smaller than the sum of its proper divisors (3621414246).

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

2201330010 is a wasteful number, since it uses less digits than its factorization.

2201330010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2201330010 is about 46918.3334102992. Note that the first 3 decimals coincide. The cubic root of 2201330010 is about 1300.8534849065.

Adding to 2201330010 its reverse (100331022), we get a palindrome (2301661032).

The spelling of 2201330010 in words is "two billion, two hundred one million, three hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 577 605 726 1051 1154 1210 1731 1815 2102 2885 3153 3462 3630 5255 5770 6306 6347 8655 10510 11561 12694 15765 17310 19041 23122 31530 31735 34683 38082 57805 63470 69366 69817 95205 115610 127171 139634 173415 190410 209451 254342 346830 349085 381513 418902 606427 635855 698170 763026 1047255 1212854 1271710 1819281 1907565 2094510 3032135 3638562 3815130 6064270 6670697 9096405 13341394 18192810 20012091 33353485 40024182 66706970 73377667 100060455 146755334 200120910 220133001 366888335 440266002 733776670 1100665005 2201330010