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2221200000210 = 23531101113209269
BaseRepresentation
bin100000010100101001110…
…101100100010011010010
321212100022020200010112110
4200110221311210103102
5242343004200001320
64420223304410150
7316322256324612
oct40245165442322
97770266603473
102221200000210
11787007547a14
122ba597476956
131315c5a52769
1479714386a42
153cba27085e0
hex20529d644d2

2221200000210 has 128 divisors (see below), whose sum is σ = 5606534154240. Its totient is φ = 562512384000.

The previous prime is 2221200000113. The next prime is 2221200000233. The reversal of 2221200000210 is 120000021222.

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 63 ways as a sum of consecutive naturals, for example, 10509456 + ... + 10718724.

It is an arithmetic number, because the mean of its divisors is an integer number (43801048080).

Almost surely, 22221200000210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221200000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803267077120).

2221200000210 is an abundant number, since it is smaller than the sum of its proper divisors (3385334154030).

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

2221200000210 is a wasteful number, since it uses less digits than its factorization.

2221200000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209524.

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

Adding to 2221200000210 its reverse (120000021222), we get a palindrome (2341200021432).

The spelling of 2221200000210 in words is "two trillion, two hundred twenty-one billion, two hundred million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 31 62 93 101 113 155 186 202 226 303 310 339 465 505 565 606 678 930 1010 1130 1515 1695 3030 3131 3390 3503 6262 7006 9393 10509 11413 15655 17515 18786 21018 22826 31310 34239 35030 46965 52545 57065 68478 93930 105090 114130 171195 209269 342390 353803 418538 627807 707606 1046345 1061409 1255614 1769015 2092690 2122818 3139035 3538030 5307045 6278070 6487339 10614090 12974678 19462017 21136169 23647397 32436695 38924034 42272338 47294794 63408507 64873390 70942191 97310085 105680845 118236985 126817014 141884382 194620170 211361690 236473970 317042535 354710955 634085070 655221239 709421910 733069307 1310442478 1466138614 1965663717 2199207921 2388387097 3276106195 3665346535 3931327434 4398415842 4776774194 6552212390 7165161291 7330693070 9828318585 10996039605 11941935485 14330322582 19656637170 21992079210 23883870970 35825806455 71651612910 74040000007 148080000014 222120000021 370200000035 444240000042 740400000070 1110600000105 2221200000210