Search a number
-
+
2222104302 = 23211191095419
BaseRepresentation
bin1000010001110010…
…1001111011101110
312201212021121001100
42010130221323232
514022324314202
61004255223530
7106031401125
oct20434517356
95655247040
102222104302
11a40357940
12520217ba6
132954a0822
14171192abc
15d013641c
hex84729eee

2222104302 has 96 divisors (see below), whose sum is σ = 5580432000. Its totient is φ = 631955520.

The previous prime is 2222104277. The next prime is 2222104307. The reversal of 2222104302 is 2034012222.

2222104302 is a `hidden beast` number, since 2 + 22 + 210 + 430 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222104307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407349 + ... + 412767.

It is an arithmetic number, because the mean of its divisors is an integer number (58129500).

Almost surely, 22222104302 is an apocalyptic number.

2222104302 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 2222104302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790216000).

2222104302 is an abundant number, since it is smaller than the sum of its proper divisors (3358327698).

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

2222104302 is a wasteful number, since it uses less digits than its factorization.

2222104302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2222104302 is about 47139.2013296789. The cubic root of 2222104302 is about 1304.9327978782.

Adding to 2222104302 its reverse (2034012222), we get a palindrome (4256116524).

The spelling of 2222104302 in words is "two billion, two hundred twenty-two million, one hundred four thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 109 114 171 198 209 218 327 342 418 627 654 981 1199 1254 1881 1962 2071 2398 3597 3762 4142 5419 6213 7194 10791 10838 12426 16257 18639 21582 22781 32514 37278 45562 48771 59609 68343 97542 102961 119218 136686 178827 205029 205922 308883 357654 410058 536481 590671 617766 926649 1072962 1132571 1181342 1772013 1853298 2265142 3397713 3544026 5316039 6497381 6795426 10193139 10632078 11222749 12994762 19492143 20386278 22445498 33668247 38984286 58476429 67336494 101004741 116952858 123450239 202009482 246900478 370350717 740701434 1111052151 2222104302