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22313205224112 = 243112112273112837
BaseRepresentation
bin1010001001011001100101…
…01010111101001010110000
32221000010021122012021101110
411010230302222331022300
510411034421014132422
6115242313414033320
74462035012013065
oct504546252751260
987003248167343
1022313205224112
117122a82710480
122604547348840
13c5b18441178a
14571d7195ac6c
1528a63e9b160c
hex144b32abd2b0

22313205224112 has 320 divisors, whose sum is σ = 63685509009408. Its totient is φ = 6675989376000.

The previous prime is 22313205224083. The next prime is 22313205224129. The reversal of 22313205224112 is 21142250231322.

It is a happy number.

It is a super-3 number, since 3×223132052241123 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22313205224112.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7865069158 + ... + 7865071994.

Almost surely, 222313205224112 is an apocalyptic number.

22313205224112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22313205224112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842754504704).

22313205224112 is an abundant number, since it is smaller than the sum of its proper divisors (41372303785296).

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

22313205224112 is a wasteful number, since it uses less digits than its factorization.

22313205224112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 22313205224112 its reverse (21142250231322), we get a palindrome (43455455455434).

The spelling of 22313205224112 in words is "twenty-two trillion, three hundred thirteen billion, two hundred five million, two hundred twenty-four thousand, one hundred twelve".