Search a number
-
+
222231302031213 = 34371223197930637
BaseRepresentation
bin110010100001111001000001…
…110100001100011101101101
31002010212002211112112001010000
4302201321001310030131231
5213112014201304444323
62104351352321534513
764544452555560636
oct6241710164143555
91063762745461100
10222231302031213
116489a847490752
1220b11ab94a4439
1397004251878b7
143cc40a3b4a88d
151aa5b2d442e43
hexca1e41d0c76d

222231302031213 has 80 divisors (see below), whose sum is σ = 341409802884480. Its totient is φ = 143954688668544.

The previous prime is 222231302031163. The next prime is 222231302031217. The reversal of 222231302031213 is 312130203132222.

222231302031213 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 31 + 302 + 0 + 312 + 13 = 666.

It is not a de Polignac number, because 222231302031213 - 210 = 222231302030189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222231302031217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7253674731 + ... + 7253705367.

It is an arithmetic number, because the mean of its divisors is an integer number (4267622536056).

Almost surely, 2222231302031213 is an apocalyptic number.

It is an amenable number.

222231302031213 is a deficient number, since it is larger than the sum of its proper divisors (119178500853267).

222231302031213 is a wasteful number, since it uses less digits than its factorization.

222231302031213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33888 (or 33879 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 222231302031213 its reverse (312130203132222), we get a palindrome (534361505163435).

The spelling of 222231302031213 in words is "two hundred twenty-two trillion, two hundred thirty-one billion, three hundred two million, thirty-one thousand, two hundred thirteen".

Divisors: 1 3 9 27 37 81 111 333 999 1223 1979 2997 3669 5937 11007 17811 30637 33021 45251 53433 73223 91911 99063 135753 160299 219669 275733 407259 659007 827199 1133569 1221777 1977021 2420317 2481597 3400707 3665331 5931063 7260951 10202121 21782853 30606363 37469051 60630623 65348559 89551729 91819089 112407153 181891869 196045677 268655187 337221459 545675607 805965561 1011664377 1386354887 1637026821 2243333051 2417896683 3034993131 4159064661 4911080463 6729999153 7253690049 12477193983 20189997459 37431581949 60569992377 74151251929 112294745847 181709977131 222453755787 667361267361 2002083802083 2743596321373 6006251406249 8230788964119 24692366892357 74077100677071 222231302031213