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1223252316 = 223211131271871
BaseRepresentation
bin100100011101001…
…0101100101011100
310011020202122201100
41020322111211130
510001123033231
6321214313100
742212321166
oct11072254534
93136678640
101223252316
11578548630
122a17b8790
13166576050
14b8663936
15725d01e6
hex48e9595c

1223252316 has 144 divisors (see below), whose sum is σ = 3663249408. Its totient is φ = 339292800.

The previous prime is 1223252311. The next prime is 1223252321. The reversal of 1223252316 is 6132523221.

It is a happy number.

1223252316 is a `hidden beast` number, since 1 + 22 + 325 + 2 + 316 = 666.

It is an interprime number because it is at equal distance from previous prime (1223252311) and next prime (1223252321).

It is a self number, because there is not a number n which added to its sum of digits gives 1223252316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223252311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652861 + ... + 654731.

It is an arithmetic number, because the mean of its divisors is an integer number (25439232).

Almost surely, 21223252316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223252316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831624704).

1223252316 is an abundant number, since it is smaller than the sum of its proper divisors (2439997092).

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

1223252316 is a wasteful number, since it uses less digits than its factorization.

1223252316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2027 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1223252316 is about 34975.0241744019. The cubic root of 1223252316 is about 1069.4783948499.

Adding to 1223252316 its reverse (6132523221), we get a palindrome (7355775537).

The spelling of 1223252316 in words is "one billion, two hundred twenty-three million, two hundred fifty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 127 132 143 156 198 234 254 286 381 396 429 468 508 572 762 858 1143 1287 1397 1524 1651 1716 1871 2286 2574 2794 3302 3742 4191 4572 4953 5148 5588 5613 6604 7484 8382 9906 11226 12573 14859 16764 16839 18161 19812 20581 22452 24323 25146 29718 33678 36322 41162 48646 50292 54483 59436 61743 67356 72644 72969 82324 97292 108966 123486 145938 163449 185229 217932 218907 237617 246972 267553 291876 326898 370458 437814 475234 535106 653796 712851 740916 802659 875628 950468 1070212 1425702 1605318 2138553 2407977 2613787 2851404 3089021 3210636 4277106 4815954 5227574 6178042 7841361 8554212 9267063 9631908 10455148 12356084 15682722 18534126 23524083 27801189 31365444 33979231 37068252 47048166 55602378 67958462 94096332 101937693 111204756 135916924 203875386 305813079 407750772 611626158 1223252316