Search a number
-
+
2221021202202 = 2341110631172497
BaseRepresentation
bin100000010100011111001…
…011100000011100011010
321212022211210020020210000
4200110133023200130122
5242342122411432302
64420153440233430
7316314655503615
oct40243713403432
97768753206700
102221021202202
11786a25626370
122ba54760b876
131315979aca1a
14796d872317c
153cb91b8b31c
hex2051f2e071a

2221021202202 has 80 divisors (see below), whose sum is σ = 5434274970432. Its totient is φ = 672403006080.

The previous prime is 2221021202189. The next prime is 2221021202227. The reversal of 2221021202202 is 2022021201222.

2221021202202 is a `hidden beast` number, since 22 + 210 + 212 + 0 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1308018 + ... + 2480514.

Almost surely, 22221021202202 is an apocalyptic number.

2221021202202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221021202202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717137485216).

2221021202202 is an abundant number, since it is smaller than the sum of its proper divisors (3213253768230).

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

2221021202202 is a wasteful number, since it uses less digits than its factorization.

2221021202202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173585 (or 1173576 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2221021202202 its reverse (2022021201222), we get a palindrome (4243042403424).

The spelling of 2221021202202 in words is "two trillion, two hundred twenty-one billion, twenty-one million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1063 1782 2126 3189 6378 9567 11693 19134 23386 28701 35079 57402 70158 86103 105237 172206 210474 315711 631422 947133 1172497 1894266 2344994 3517491 7034982 10552473 12897467 21104946 25794934 31657419 38692401 63314838 77384802 94972257 116077203 189944514 232154406 348231609 696463218 1044694827 1246364311 2089389654 2492728622 3739092933 7478185866 11217278799 13710007421 22434557598 27420014842 33651836397 41130022263 67303672794 82260044526 100955509191 123390066789 201911018382 246780133578 370170200367 740340400734 1110510601101 2221021202202