Search a number
-
+
1224213233022 = 232134123478969
BaseRepresentation
bin10001110100001000110…
…010110111110101111110
311100000220112011210101200
4101310020302313311332
5130024142041424042
62334221254120330
7154306100534103
oct21641062676576
94300815153350
101224213233022
1143220550047a
121793166500a6
138b59ab22620
14433761ccaaa
1521ca079bc4c
hex11d08cb7d7e

1224213233022 has 144 divisors (see below), whose sum is σ = 2936632542480. Its totient is φ = 366393738240.

The previous prime is 1224213233003. The next prime is 1224213233027. The reversal of 1224213233022 is 2203323124221.

1224213233022 is a `hidden beast` number, since 1 + 2 + 2 + 421 + 3 + 233 + 0 + 2 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224213233027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136489354 + ... + 136498322.

It is an arithmetic number, because the mean of its divisors is an integer number (20393281545).

Almost surely, 21224213233022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224213233022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468316271240).

1224213233022 is an abundant number, since it is smaller than the sum of its proper divisors (1712419309458).

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

1224213233022 is a wasteful number, since it uses less digits than its factorization.

1224213233022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419 (or 9375 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1224213233022 its reverse (2203323124221), we get a palindrome (3427536357243).

The spelling of 1224213233022 in words is "one trillion, two hundred twenty-four billion, two hundred thirteen million, two hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 347 369 533 694 738 1041 1066 1599 1681 2082 3123 3198 3362 4511 4797 5043 6246 8969 9022 9594 10086 13533 14227 15129 17938 21853 26907 27066 28454 30258 40599 42681 43706 53814 65559 80721 81198 85362 116597 128043 131118 161442 184951 196677 233194 256086 349791 367729 369902 393354 554853 583307 699582 735458 1049373 1103187 1109706 1166614 1664559 1749921 2098746 2206374 3112243 3309561 3329118 3499842 4780477 5249763 6224486 6619122 7582991 9336729 9560954 10499526 14341431 15076889 15165982 18673458 22748973 28010187 28682862 30153778 40459159 43024293 45230667 45497946 56020374 68246919 80918318 86048586 90461334 121377477 127601963 135692001 136493838 195999557 242754954 255203926 271384002 364132431 382805889 391999114 587998671 728264862 765611778 1148417667 1175997342 1658825519 1763996013 2296835334 3317651038 3527992026 4976476557 5231680483 9952953114 10463360966 14929429671 15695041449 29858859342 31390082898 47085124347 68011846279 94170248694 136023692558 204035538837 408071077674 612106616511 1224213233022