Search a number
-
+
222102121220 = 225717229740627
BaseRepresentation
bin1100111011011001010…
…0010110101100000100
3210020021200022202221122
43032312110112230010
512114331120334340
6250010551133112
722021616611130
oct3166624265404
9706250282848
10222102121220
1186213947a91
1237065674198
1317c37378305
14aa6d6463c0
155b9da25db5
hex33b6516b04

222102121220 has 96 divisors (see below), whose sum is σ = 564660294912. Its totient is φ = 71636963328.

The previous prime is 222102121217. The next prime is 222102121229. The reversal of 222102121220 is 22121201222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (222102121229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5446547 + ... + 5487173.

It is an arithmetic number, because the mean of its divisors is an integer number (5881878072).

Almost surely, 2222102121220 is an apocalyptic number.

222102121220 is a gapful number since it is divisible by the number (20) 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 222102121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282330147456).

222102121220 is an abundant number, since it is smaller than the sum of its proper divisors (342558173692).

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

222102121220 is a wasteful number, since it uses less digits than its factorization.

222102121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42957 (or 42955 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222102121220 its reverse (22121201222), we get a palindrome (244223322442).

The spelling of 222102121220 in words is "two hundred twenty-two billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2297 2380 4594 9188 11485 16079 22970 32158 39049 40627 45940 64316 78098 80395 81254 156196 160790 162508 195245 203135 273343 284389 321580 390490 406270 546686 568778 690659 780980 812540 1093372 1137556 1366715 1381318 1421945 2733430 2762636 2843890 3453295 4834613 5466860 5687780 6906590 9669226 13813180 19338452 24173065 48346130 93320219 96692260 186640438 373280876 466601095 653241533 933202190 1306483066 1586443723 1866404380 2612966132 3172887446 3266207665 6345774892 6532415330 7932218615 11105106061 13064830660 15864437230 22210212122 31728874460 44420424244 55525530305 111051060610 222102121220