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2002001022210 = 235747947214189
BaseRepresentation
bin11101001000100000100…
…011110100110100000010
321002101111220010022101210
4131020200203310310002
5230300044230202320
64131412341510550
7264432310625040
oct35104043646402
97071456108353
102002001022210
11702053426452
12284002112456
13116a31ca8a97
146cc7c533390
15371239e30e0
hex1d2208f4d02

2002001022210 has 128 divisors (see below), whose sum is σ = 5613985013760. Its totient is φ = 447389040384.

The previous prime is 2002001022209. The next prime is 2002001022211. The reversal of 2002001022210 is 122201002002.

It is an interprime number because it is at equal distance from previous prime (2002001022209) and next prime (2002001022211).

It is not an unprimeable number, because it can be changed into a prime (2002001022211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9239796 + ... + 9453984.

It is an arithmetic number, because the mean of its divisors is an integer number (43859257920).

Almost surely, 22002001022210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002001022210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806992506880).

2002001022210 is an abundant number, since it is smaller than the sum of its proper divisors (3611983991550).

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

2002001022210 is a wasteful number, since it uses less digits than its factorization.

2002001022210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215200.

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

Adding to 2002001022210 its reverse (122201002002), we get a palindrome (2124202024212).

The spelling of 2002001022210 in words is "two trillion, two billion, one million, twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 947 987 1410 1645 1894 1974 2841 3290 4735 4935 5682 6629 9470 9870 13258 14205 19887 28410 33145 39774 44509 66290 89018 99435 133527 198870 214189 222545 267054 311563 428378 445090 623126 642567 667635 934689 1070945 1285134 1335270 1499323 1557815 1869378 2141890 2998646 3115630 3212835 4497969 4673445 6425670 7496615 8995938 9346890 10066883 14993230 20133766 22489845 30200649 44979690 50334415 60401298 70468181 100668830 140936362 151003245 202836983 211404543 302006490 352340905 405673966 422809086 608510949 704681810 1014184915 1057022715 1217021898 1419858881 2028369830 2114045430 2839717762 3042554745 4259576643 6085109490 7099294405 8519153286 9533338201 14198588810 19066676402 21297883215 28600014603 42595766430 47666691005 57200029206 66733367407 95333382010 133466734814 143000073015 200200102221 286000146030 333666837035 400400204442 667333674070 1001000511105 2002001022210