Search a number
-
+
2212241000310 = 2325112234586869
BaseRepresentation
bin100000001100010011110…
…101101100011101110110
321211111011212201210002100
4200030103311230131312
5242221132144002220
64412142310122530
7315554252145435
oct40142365543566
97744155653070
102212241000310
1178322a40a770
122b88b7050446
131307c89292a3
14791045a511c
153c82ae29d90
hex20313d6c776

2212241000310 has 48 divisors (see below), whose sum is σ = 6274719930960. Its totient is φ = 536300848320.

The previous prime is 2212241000287. The next prime is 2212241000353. The reversal of 2212241000310 is 130001422122.

It is a happy number.

2212241000310 is a `hidden beast` number, since 221 + 2 + 2 + 410 + 0 + 0 + 31 + 0 = 666.

2212241000310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22122410003102 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117292445 + ... + 1117294424.

It is an arithmetic number, because the mean of its divisors is an integer number (130723331895).

Almost surely, 22212241000310 is an apocalyptic number.

2212241000310 is an abundant number, since it is smaller than the sum of its proper divisors (4062478930650).

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

2212241000310 is a wasteful number, since it uses less digits than its factorization.

2212241000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234586893 (or 2234586890 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2212241000310 its reverse (130001422122), we get a palindrome (2342242422432).

The spelling of 2212241000310 in words is "two trillion, two hundred twelve billion, two hundred forty-one million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2234586869 4469173738 6703760607 11172934345 13407521214 20111281821 22345868690 24580455559 33518803035 40222563642 49160911118 67037606070 73741366677 100556409105 122902277795 147482733354 201112818210 221224100031 245804555590 368706833385 442448200062 737413666770 1106120500155 2212241000310