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1223241320 = 235713133349
BaseRepresentation
bin100100011101001…
…0010111001101000
310011020202002122002
41020322102321220
510001122210240
6321214150132
742212244140
oct11072227150
93136662562
101223241320
11578540344
122a17b2348
13166571042
14b865d920
15725cbd15
hex48e92e68

1223241320 has 64 divisors (see below), whose sum is σ = 3169584000. Its totient is φ = 416183040.

The previous prime is 1223241251. The next prime is 1223241323. The reversal of 1223241320 is 231423221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1223241292 and 1223241301.

It is not an unprimeable number, because it can be changed into a prime (1223241323) 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, 20006 + ... + 53354.

It is an arithmetic number, because the mean of its divisors is an integer number (49524750).

Almost surely, 21223241320 is an apocalyptic number.

1223241320 is a gapful number since it is divisible by the number (10) 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 1223241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584792000).

1223241320 is an abundant number, since it is smaller than the sum of its proper divisors (1946342680).

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

1223241320 is a wasteful number, since it uses less digits than its factorization.

1223241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33498 (or 33494 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1223241320 is about 34974.8669761588. The cubic root of 1223241320 is about 1069.4751902727.

Adding to 1223241320 its reverse (231423221), we get a palindrome (1454664541).

The spelling of 1223241320 in words is "one billion, two hundred twenty-three million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 131 140 262 280 524 655 917 1048 1310 1834 2620 3668 4585 5240 7336 9170 18340 33349 36680 66698 133396 166745 233443 266792 333490 466886 666980 933772 1167215 1333960 1867544 2334430 4368719 4668860 8737438 9337720 17474876 21843595 30581033 34949752 43687190 61162066 87374380 122324132 152905165 174748760 244648264 305810330 611620660 1223241320