Search a number
-
+
322220202213 = 371383107347383
BaseRepresentation
bin1001011000001011101…
…00100001100011100101
31010210201002011020212110
410230011310201203211
520234401332432323
6404005333111233
732164626346110
oct4540564414345
91123632136773
10322220202213
1111471a9a4088
1252546a88519
132450148c360
141184a243577
1585ad2d7793
hex4b05d218e5

322220202213 has 128 divisors (see below), whose sum is σ = 543114657792. Its totient is φ = 165432819456.

The previous prime is 322220202211. The next prime is 322220202287. The reversal of 322220202213 is 312202022223.

It is not a de Polignac number, because 322220202213 - 21 = 322220202211 is a prime.

It is a super-2 number, since 2×3222202022132 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 322220202213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322220202211) 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 127 ways as a sum of consecutive naturals, for example, 841305820 + ... + 841306202.

It is an arithmetic number, because the mean of its divisors is an integer number (4243083264).

Almost surely, 2322220202213 is an apocalyptic number.

It is an amenable number.

322220202213 is a deficient number, since it is larger than the sum of its proper divisors (220894455579).

322220202213 is a wasteful number, since it uses less digits than its factorization.

322220202213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 322220202213 its reverse (312202022223), we get a palindrome (634422224436).

The spelling of 322220202213 in words is "three hundred twenty-two billion, two hundred twenty million, two hundred two thousand, two hundred thirteen".

Divisors: 1 3 7 13 21 39 83 91 107 249 273 321 347 383 581 749 1041 1079 1149 1391 1743 2247 2429 2681 3237 4173 4511 4979 7287 7553 8043 8881 9737 13533 14937 22659 26643 28801 29211 31577 31789 34853 37129 40981 62167 86403 94731 95367 104559 111387 115453 122943 132901 186501 201607 222523 259903 286867 346359 374413 398703 413257 482677 532753 604821 667569 779709 808171 860601 930307 1123239 1239771 1448031 1598259 1727713 2424513 2620891 2790921 2892799 3081707 3378739 3401423 3729271 5183139 7862673 8678397 9245121 10136217 10204269 11030783 11187813 12093991 14220407 21571949 23809961 33092349 36281973 40062191 42661221 44218499 64715847 71429883 77215481 99542849 120186573 132655497 143400179 184865291 231646443 280435337 298628547 309529493 430200537 554595873 841306011 928588479 1003801253 1180293781 1294057037 3011403759 3540881343 3882171111 8262056467 15343819153 24786169401 46031457459 107406734071 322220202213