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23222434224 = 2431123998353
BaseRepresentation
bin10101101000001010…
…100011100110110000
32012221102002212222110
4111220022203212300
5340024420343344
614400201205320
71451321301603
oct255012434660
965842085873
1023222434224
119937505600
124601190840
13226119c852
1411a427033a
1590daeb3b9
hex5682a39b0

23222434224 has 60 divisors (see below), whose sum is σ = 65940854168. Its totient is φ = 7037099520.

The previous prime is 23222434217. The next prime is 23222434229. The reversal of 23222434224 is 42243422232.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23222434191 and 23222434200.

It is not an unprimeable number, because it can be changed into a prime (23222434229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1993369 + ... + 2004984.

Almost surely, 223222434224 is an apocalyptic number.

23222434224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23222434224 is an abundant number, since it is smaller than the sum of its proper divisors (42718419944).

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

23222434224 is a wasteful number, since it uses less digits than its factorization.

23222434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998386 (or 3998369 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

Adding to 23222434224 its reverse (42243422232), we get a palindrome (65465856456).

It can be divided in two parts, 23222 and 434224, that added together give a triangular number (457446 = T956).

The spelling of 23222434224 in words is "twenty-three billion, two hundred twenty-two million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 3998353 7996706 11995059 15993412 23990118 31986824 43981883 47980236 63973648 87963766 95960472 131945649 175927532 191920944 263891298 351855064 483800713 527782596 703710128 967601426 1055565192 1451402139 1935202852 2111130384 2902804278 3870405704 5805608556 7740811408 11611217112 23222434224