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23223332012232 = 23311731210199581
BaseRepresentation
bin1010100011111000110100…
…11101001000000011001000
310001020010110221022111100110
411101330122131020003020
511020442340443342412
6121220352413434320
74614554550041202
oct521743235100310
9101203427274313
1023223332012232
117443a61543050
122730a06a9b9a0
13cc5c48c1a8b1
145a402dc6b772
152a415b092d3c
hex151f1a7480c8

23223332012232 has 128 divisors (see below), whose sum is σ = 64209931873920. Its totient is φ = 6940327680000.

The previous prime is 23223332012227. The next prime is 23223332012303. The reversal of 23223332012232 is 23221023332232.

It is a self number, because there is not a number n which added to its sum of digits gives 23223332012232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233160682 + ... + 233260262.

It is an arithmetic number, because the mean of its divisors is an integer number (501640092765).

Almost surely, 223223332012232 is an apocalyptic number.

23223332012232 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 23223332012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32104965936960).

23223332012232 is an abundant number, since it is smaller than the sum of its proper divisors (40986599861688).

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

23223332012232 is a wasteful number, since it uses less digits than its factorization.

23223332012232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111775 (or 111771 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 23223332012232 its reverse (23221023332232), we get a palindrome (46444355344464).

It can be divided in two parts, 232233 and 32012232, that added together give a triangular number (32244465 = T8030).

The spelling of 23223332012232 in words is "twenty-three trillion, two hundred twenty-three billion, three hundred thirty-two million, twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 4818 6424 9636 12101 19272 24202 36303 48404 72606 96808 99581 133111 145212 199162 266222 290424 298743 398324 399333 532444 597486 796648 798666 883373 1064888 1095391 1194972 1597332 1766746 2190782 2389944 2650119 3194664 3286173 3533492 4381564 5300238 6572346 7066984 7269413 8763128 9717103 10600476 13144692 14538826 19434206 21200952 21808239 26289384 29077652 29151309 38868412 43616478 58155304 58302618 77736824 79963543 87232956 116605236 159927086 174465912 233210472 239890629 319854172 479781258 639708344 959562516 1205029681 1919125032 2410059362 3615089043 4820118724 7230178086 9640237448 13255326491 14460356172 26510652982 28920712344 39765979473 53021305964 79531958946 87967166713 106042611928 159063917892 175934333426 263901500139 318127835784 351868666852 527803000278 703737333704 967638833843 1055606000556 1935277667686 2111212001112 2902916501529 3870555335372 5805833003058 7741110670744 11611666006116 23223332012232