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1000200002220 = 2232519386375707
BaseRepresentation
bin11101000111000001001…
…00001101101010101100
310112121200122202120221200
432203200210031222230
5112341402200032340
62043252513125500
7132155613512616
oct16434044155254
93477618676850
101000200002220
1135620090a591
12141a18b59890
137341a853b53
14365a4c29db6
151b03e0c1330
hexe8e090daac

1000200002220 has 144 divisors (see below), whose sum is σ = 3194489975040. Its totient is φ = 252613358208.

The previous prime is 1000200002161. The next prime is 1000200002227. The reversal of 1000200002220 is 222000020001.

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

It is not an unprimeable number, because it can be changed into a prime (1000200002227) 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, 13173607 + ... + 13249313.

It is an arithmetic number, because the mean of its divisors is an integer number (22183958160).

Almost surely, 21000200002220 is an apocalyptic number.

1000200002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000200002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597244987520).

1000200002220 is an abundant number, since it is smaller than the sum of its proper divisors (2194289972820).

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

1000200002220 is a wasteful number, since it uses less digits than its factorization.

1000200002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79604 (or 79599 counting only the distinct ones).

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

Adding to 1000200002220 its reverse (222000020001), we get a palindrome (1222200022221).

The spelling of 1000200002220 in words is "one trillion, two hundred million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 3863 7726 11589 15452 19315 23178 34767 38630 46356 57945 69534 73397 75707 77260 115890 139068 146794 151414 173835 220191 227121 231780 293588 302828 347670 366985 378535 440382 454242 660573 681363 695340 733970 757070 880764 908484 1100955 1135605 1321146 1362726 1438433 1467940 1514140 2201910 2271210 2642292 2725452 2876866 3302865 3406815 4315299 4403820 4542420 5753732 6605730 6813630 7192165 8630598 12945897 13211460 13627260 14384330 17261196 21576495 25891794 28768660 43152990 51783588 64729485 86305980 129458970 258917940 292456141 584912282 877368423 1169824564 1462280705 1754736846 2632105269 2924561410 3509473692 4386842115 5264210538 5556666679 5849122820 8773684230 10528421076 11113333358 13160526345 16670000037 17547368460 22226666716 26321052690 27783333395 33340000074 50010000111 52642105380 55566666790 66680000148 83350000185 100020000222 111133333580 166700000370 200040000444 250050000555 333400000740 500100001110 1000200002220