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2000200212 = 223217343263
BaseRepresentation
bin111011100111000…
…1010001000010100
312011101201200212100
41313032022020110
513044022401322
6530251122100
7100365264333
oct16716121024
95141650770
102000200212
1193707402a
12479a43330
1325b51752a
1414d90bd1a
15ba901dac
hex7738a214

2000200212 has 144 divisors (see below), whose sum is σ = 5517832320. Its totient is φ = 610589952.

The previous prime is 2000200207. The next prime is 2000200247. The reversal of 2000200212 is 2120020002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000200194 and 2000200203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7605193 + ... + 7605455.

It is an arithmetic number, because the mean of its divisors is an integer number (38318280).

Almost surely, 22000200212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758916160).

2000200212 is an abundant number, since it is smaller than the sum of its proper divisors (3517632108).

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

2000200212 is a wasteful number, since it uses less digits than its factorization.

2000200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2000200212 is about 44723.5979321879. The cubic root of 2000200212 is about 1259.9630903776.

Adding to 2000200212 its reverse (2120020002), we get a palindrome (4120220214).

The spelling of 2000200212 in words is "two billion, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 263 289 306 387 516 526 578 612 731 774 789 867 1052 1156 1462 1548 1578 1734 2193 2367 2601 2924 3156 3468 4386 4471 4734 4913 5202 6579 8772 8942 9468 9826 10404 11309 12427 13158 13413 14739 17884 19652 22618 24854 26316 26826 29478 33927 37281 40239 44217 45236 49708 53652 58956 67854 74562 76007 80478 88434 101781 111843 135708 149124 152014 160956 176868 192253 203562 211259 223686 228021 304028 384506 407124 422518 447372 456042 576759 633777 684063 769012 845036 912084 1153518 1267554 1292119 1368126 1730277 1901331 2307036 2535108 2584238 2736252 3268301 3460554 3802662 3876357 5168476 6536602 6921108 7605324 7752714 9804903 11629071 13073204 15505428 19609806 23258142 29414709 39219612 46516284 55561117 58829418 111122234 117658836 166683351 222244468 333366702 500050053 666733404 1000100106 2000200212