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22312301242 = 27112329217219
BaseRepresentation
bin10100110001111010…
…101011001010111010
32010120222112100020111
4110301322223022322
5331143422114432
614130010014534
71416630300640
oct246172531272
963528470214
1022312301242
11950a792190
1243a841744a
132147768c1a
141119437190
158a8c6c347
hex531eab2ba

22312301242 has 64 divisors (see below), whose sum is σ = 45042739200. Its totient is φ = 8028377280.

The previous prime is 22312301227. The next prime is 22312301269. The reversal of 22312301242 is 24210321322.

It is a super-3 number, since 3×223123012423 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5892 + ... + 211327.

It is an arithmetic number, because the mean of its divisors is an integer number (703792800).

Almost surely, 222312301242 is an apocalyptic number.

22312301242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22312301242 is an abundant number, since it is smaller than the sum of its proper divisors (22730437958).

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

22312301242 is a wasteful number, since it uses less digits than its factorization.

22312301242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217291.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22312301242 its reverse (24210321322), we get a palindrome (46522622564).

The spelling of 22312301242 in words is "twenty-two billion, three hundred twelve million, three hundred one thousand, two hundred forty-two".

Divisors: 1 2 7 11 14 22 23 29 46 58 77 154 161 203 253 319 322 406 506 638 667 1334 1771 2233 3542 4466 4669 7337 9338 14674 51359 102718 217219 434438 1520533 2389409 3041066 4778818 4996037 6299351 9992074 12598702 16725863 33451726 34972259 44095457 54956407 69292861 69944518 88190914 109912814 138585722 144885073 289770146 384694849 485050027 769389698 970100054 1014195511 1593735803 2028391022 3187471606 11156150621 22312301242