Search a number
-
+
22222100101122 = 233439937404037
BaseRepresentation
bin1010000110101111111000…
…11000011111100000000010
32220200102010100211111112000
411003113330120133200002
510403041330111213442
6115132405235044430
74452331233155445
oct503277430374002
986612110744460
1022222100101122
1170983811a60a9
1225aa960440716
13c526c5666a8c
1456b7abd8965c
152880ab5dad4c
hex1435fc61f802

22222100101122 has 32 divisors (see below), whose sum is σ = 49494933206400. Its totient is φ = 7390493419824.

The previous prime is 22222100101121. The next prime is 22222100101139. The reversal of 22222100101122 is 22110100122222.

It is a happy number.

22222100101122 is a `hidden beast` number, since 222 + 221 + 0 + 0 + 101 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22222100101095 and 22222100101104.

It is not an unprimeable number, because it can be changed into a prime (22222100101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468678313 + ... + 468725724.

It is an arithmetic number, because the mean of its divisors is an integer number (1546716662700).

Almost surely, 222222100101122 is an apocalyptic number.

22222100101122 is an abundant number, since it is smaller than the sum of its proper divisors (27272833105278).

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

22222100101122 is a wasteful number, since it uses less digits than its factorization.

22222100101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937404487 (or 937404481 counting only the distinct ones).

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

Adding to 22222100101122 its reverse (22110100122222), we get a palindrome (44332200223344).

The spelling of 22222100101122 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 439 878 1317 2634 3951 7902 11853 23706 937404037 1874808074 2812212111 5624424222 8436636333 16873272666 25309908999 50619817998 411520372243 823040744486 1234561116729 2469122233458 3703683350187 7407366700374 11111050050561 22222100101122