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23221122232 = 23711192119403
BaseRepresentation
bin10101101000000101…
…100011010010111000
32012221022122020021011
4111220011203102320
5340024101402412
614400113123304
71451304165550
oct255005432270
965838566234
1023221122232
119936799910
124600859534
132260b30619
1411a400c160
1590d93c7a7
hex5681634b8

23221122232 has 128 divisors (see below), whose sum is σ = 57417062400. Its totient is φ = 8529494400.

The previous prime is 23221122217. The next prime is 23221122313. The reversal of 23221122232 is 23222112232.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2464843 + ... + 2474245.

It is an arithmetic number, because the mean of its divisors is an integer number (448570800).

Almost surely, 223221122232 is an apocalyptic number.

23221122232 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 23221122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28708531200).

23221122232 is an abundant number, since it is smaller than the sum of its proper divisors (34195940168).

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

23221122232 is a wasteful number, since it uses less digits than its factorization.

23221122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9657 (or 9653 counting only the distinct ones).

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

Adding to 23221122232 its reverse (23222112232), we get a palindrome (46443234464).

The spelling of 23221122232 in words is "twenty-three billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 211 266 308 418 422 532 616 836 844 1064 1463 1477 1672 1688 2321 2926 2954 4009 4642 5852 5908 8018 9284 9403 11704 11816 16036 16247 18568 18806 28063 32072 32494 37612 44099 56126 64988 65821 75224 88198 103433 112252 129976 131642 176396 178657 206866 224504 263284 308693 352792 357314 413732 526568 617386 714628 724031 827464 1234772 1250599 1429256 1448062 1965227 1984033 2469544 2501198 2896124 3930454 3968066 5002396 5792248 7860908 7936132 10004792 13756589 13888231 15721816 15872264 21824363 27513178 27776462 37696627 43648726 55026356 55552924 75393254 87297452 110052712 111105848 150786508 152770541 174594904 263876389 301573016 305541082 414662897 527752778 611082164 829325794 1055505556 1222164328 1658651588 2111011112 2902640279 3317303176 5805280558 11610561116 23221122232