Search a number
-
+
22210012122210 = 23251122979766807
BaseRepresentation
bin1010000110011001010111…
…11000100000110001100010
32220122020220221011112210100
411003030223320200301202
510402342101100402320
6115123045543443230
74451422543064433
oct503145370406142
986566827145710
1022210012122210
117093238913690
1225a8548156516
13c5151a20a233
1456ad827c948a
15287b0028c790
hex14332be20c62

22210012122210 has 96 divisors (see below), whose sum is σ = 63023102393472. Its totient is φ = 5381900778240.

The previous prime is 22210012122209. The next prime is 22210012122211. The reversal of 22210012122210 is 1222121001222.

It is a happy number.

22210012122210 is a `hidden beast` number, since 22 + 210 + 0 + 1 + 212 + 221 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22210012122209) and next prime (22210012122211).

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

It is not an unprimeable number, because it can be changed into a prime (22210012122211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2609374 + ... + 7157433.

It is an arithmetic number, because the mean of its divisors is an integer number (656490649932).

Almost surely, 222210012122210 is an apocalyptic number.

22210012122210 is an abundant number, since it is smaller than the sum of its proper divisors (40813090271262).

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

22210012122210 is a wasteful number, since it uses less digits than its factorization.

22210012122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769128 (or 9769125 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22210012122210 its reverse (1222121001222), we get a palindrome (23432133123432).

The spelling of 22210012122210 in words is "twenty-two trillion, two hundred ten billion, twelve million, one hundred twenty-two thousand, two hundred ten".

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 2297 4594 6891 11485 13782 20673 22970 25267 34455 41346 50534 68910 75801 103365 126335 151602 206730 227403 252670 379005 454806 758010 1137015 2274030 9766807 19533614 29300421 48834035 58600842 87901263 97668070 107434877 146502105 175802526 214869754 293004210 322304631 439506315 537174385 644609262 879012630 966913893 1074348770 1611523155 1933827786 3223046310 4834569465 9669138930 22434355679 44868711358 67303067037 112171778395 134606134074 201909201111 224343556790 246777912469 336515335185 403818402222 493555824938 673030670370 740333737407 1009546005555 1233889562345 1480667474814 2019092011110 2221001212221 2467779124690 3701668687035 4442002424442 7403337374070 11105006061105 22210012122210