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200202000216 = 2331723145314683
BaseRepresentation
bin1011101001110011111…
…0000001011101011000
3201010202102101100200220
42322130332001131120
511240003203001331
6231545503400040
720315122631631
oct2723476013530
9633672340626
10200202000216
11779a589aa29
12329732b3020
1315b57126a2a
149992c64888
15531b076296
hex2e9cf81758

200202000216 has 128 divisors (see below), whose sum is σ = 553405893120. Its totient is φ = 60032231424.

The previous prime is 200202000197. The next prime is 200202000263. The reversal of 200202000216 is 612000202002.

It is a junction number, because it is equal to n+sod(n) for n = 200202000195 and 200202000204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13627611 + ... + 13642293.

It is an arithmetic number, because the mean of its divisors is an integer number (4323483540).

Almost surely, 2200202000216 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 200202000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276702946560).

200202000216 is an abundant number, since it is smaller than the sum of its proper divisors (353203892904).

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

200202000216 is a wasteful number, since it uses less digits than its factorization.

200202000216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16185 (or 16181 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 200202000216 its reverse (612000202002), we get a palindrome (812202202218).

The spelling of 200202000216 in words is "two hundred billion, two hundred two million, two hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1453 1564 2346 2906 3128 4359 4692 5812 8718 9384 11624 14683 17436 24701 29366 33419 34872 44049 49402 58732 66838 74103 88098 98804 100257 117464 133676 148206 176196 197608 200514 249611 267352 296412 337709 352392 401028 499222 568123 592824 675418 748833 802056 998444 1013127 1136246 1350836 1497666 1704369 1996888 2026254 2272492 2701672 2995332 3408738 4052508 4544984 5741053 5990664 6817476 8105016 11482106 13634952 17223159 21334399 22964212 34446318 42668798 45928424 64003197 68892636 85337596 128006394 137785272 170675192 256012788 362684783 490691177 512025576 725369566 981382354 1088054349 1450739132 1472073531 1962764708 2176108698 2901478264 2944147062 3925529416 4352217396 5888294124 8341750009 8704434792 11776588248 16683500018 25025250027 33367000036 50050500054 66734000072 100101000108 200202000216