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22043153434432 = 261348780967247
BaseRepresentation
bin1010000001100010100100…
…10101001000011101000000
32220001022020021002221221011
411000301102111020131000
510342123334234400212
6114514252423010304
74433364614456104
oct500612225103500
986038207087834
1022043153434432
1170294a34a4919
12258013b599994
13c3b8780140a0
14562c74021904
152835d65eb4a7
hex140c52548740

22043153434432 has 112 divisors (see below), whose sum is σ = 47262421624320. Its totient is φ = 10140171743232.

The previous prime is 22043153434429. The next prime is 22043153434441. The reversal of 22043153434432 is 23443435134022.

It is a super-2 number, since 2×220431534344322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327760233 + ... + 327827479.

It is an arithmetic number, because the mean of its divisors is an integer number (421985907360).

Almost surely, 222043153434432 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 22043153434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631210812160).

22043153434432 is an abundant number, since it is smaller than the sum of its proper divisors (25219268189888).

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

22043153434432 is a wasteful number, since it uses less digits than its factorization.

22043153434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68568 (or 68558 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

Adding to 22043153434432 its reverse (23443435134022), we get a palindrome (45486588568454).

The spelling of 22043153434432 in words is "twenty-two trillion, forty-three billion, one hundred fifty-three million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 487 809 832 974 1618 1948 3236 3896 6331 6472 7792 10517 12662 12944 15584 21034 25324 25888 31168 42068 50648 51776 67247 84136 101296 134494 168272 202592 268988 336544 393983 405184 537976 673088 787966 874211 1075952 1575932 1748422 2151904 3151864 3496844 4303808 5121779 6303728 6993688 10243558 12607456 13987376 20487116 25214912 27974752 32749289 40974232 54402823 55949504 65498578 81948464 108805646 130997156 163896928 217611292 261994312 327793856 425740757 435222584 523988624 707236699 851481514 870445168 1047977248 1414473398 1702963028 1740890336 2095954496 2828946796 3405926056 3481780672 5657893592 6811852112 11315787184 13623704224 22631574368 26494174801 27247408448 45263148736 52988349602 105976699204 211953398408 344424272413 423906796816 688848544826 847813593632 1377697089652 1695627187264 2755394179304 5510788358608 11021576717216 22043153434432