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22211022141 = 3271179405703
BaseRepresentation
bin10100101011111000…
…010100110100111101
32010022220221211102200
4110223320110310331
5330442010202031
614111551142113
71414260400410
oct245370246475
963286854380
1022211022141
1194685a7750
12437a514939
13212c798169
141109bd1b77
1589ee138e6
hex52be14d3d

22211022141 has 48 divisors (see below), whose sum is σ = 40505487360. Its totient is φ = 11392112160.

The previous prime is 22211022139. The next prime is 22211022151. The reversal of 22211022141 is 14122011222.

It is not a de Polignac number, because 22211022141 - 21 = 22211022139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211022151) 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, 148105 + ... + 257598.

It is an arithmetic number, because the mean of its divisors is an integer number (843864320).

Almost surely, 222211022141 is an apocalyptic number.

22211022141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22211022141 is a deficient number, since it is larger than the sum of its proper divisors (18294465219).

22211022141 is a wasteful number, since it uses less digits than its factorization.

22211022141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405806 (or 405803 counting only the distinct ones).

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

Adding to 22211022141 its reverse (14122011222), we get a palindrome (36333033363).

The spelling of 22211022141 in words is "twenty-two billion, two hundred eleven million, twenty-two thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 79 99 231 237 553 693 711 869 1659 2607 4977 6083 7821 18249 54747 405703 1217109 2839921 3651327 4462733 8519763 13388199 25559289 31239131 32050537 40164597 93717393 96151611 224353759 281152179 288454833 352555907 673061277 1057667721 2019183831 2467891349 3173003163 7403674047 22211022141