Search a number
-
+
2221146676 = 227271193827
BaseRepresentation
bin1000010001100100…
…0000001000110100
312201210110221102201
42010121000020310
514022103143201
61004222514244
7106020302200
oct20431001064
95653427381
102221146676
11a3a863411
1251ba35984
13295226998
14170dc3b00
15ceee7801
hex84640234

2221146676 has 72 divisors (see below), whose sum is σ = 4614636096. Its totient is φ = 932520960.

The previous prime is 2221146673. The next prime is 2221146689. The reversal of 2221146676 is 6766411222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221146671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2685375 + ... + 2686201.

It is an arithmetic number, because the mean of its divisors is an integer number (64092168).

Almost surely, 22221146676 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 2221146676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307318048).

2221146676 is an abundant number, since it is smaller than the sum of its proper divisors (2393489420).

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

2221146676 is a wasteful number, since it uses less digits than its factorization.

2221146676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1100 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 2221146676 is about 47129.0428080181. The cubic root of 2221146676 is about 1304.7453153600.

Adding to 2221146676 its reverse (6766411222), we get a palindrome (8987557898).

The spelling of 2221146676 in words is "two billion, two hundred twenty-one million, one hundred forty-six thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 71 98 142 193 196 284 386 497 772 827 994 1351 1654 1988 2702 3308 3479 5404 5789 6958 9457 11578 13703 13916 18914 23156 27406 37828 40523 54812 58717 81046 95921 117434 159611 162092 191842 234868 319222 383684 411019 638444 671447 822038 1117277 1342894 1644076 2234554 2685788 2877133 4469108 5754266 7820939 11332381 11508532 15641878 22664762 31283756 45329524 79326667 158653334 317306668 555286669 1110573338 2221146676