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22800422842008 = 23371073559356387
BaseRepresentation
bin1010010111100101000110…
…00110101010111010011000
32222201200212200002200210120
411023302203012222322120
510442030231221421013
6120254211502313240
74542163506310350
oct513624306527230
988650780080716
1022800422842008
1172a067231a019
122682a5b588820
13c950bc2a2c36
1458b7912a1b60
1529815832c123
hex14bca31aae98

22800422842008 has 128 divisors (see below), whose sum is σ = 65771547955200. Its totient is φ = 6451692822144.

The previous prime is 22800422842007. The next prime is 22800422842009. The reversal of 22800422842008 is 80024822400822.

It is an interprime number because it is at equal distance from previous prime (22800422842007) and next prime (22800422842009).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22800422842007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63798391 + ... + 64154777.

It is an arithmetic number, because the mean of its divisors is an integer number (513840218400).

Almost surely, 222800422842008 is an apocalyptic number.

22800422842008 is a gapful number since it is divisible by the number (28) 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 22800422842008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32885773977600).

22800422842008 is an abundant number, since it is smaller than the sum of its proper divisors (42971125113192).

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

22800422842008 is a wasteful number, since it uses less digits than its factorization.

22800422842008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360069 (or 360065 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 42.

The spelling of 22800422842008 in words is "twenty-two trillion, eight hundred billion, four hundred twenty-two million, eight hundred forty-two thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 2247 2568 2996 3559 4494 5992 7118 8988 10677 14236 17976 21354 24913 28472 42708 49826 74739 85416 99652 149478 199304 298956 356387 380813 597912 712774 761626 1069161 1142439 1425548 1523252 2138322 2284878 2494709 2665691 2851096 3046504 4276644 4569756 4989418 5331382 7484127 7997073 8553288 9139512 9978836 10662764 14968254 15994146 19957672 21325528 29936508 31988292 38133409 59873016 63976584 76266818 114400227 152533636 228800454 266933863 305067272 457600908 533867726 800801589 915201816 1067735452 1268381333 1601603178 2135470904 2536762666 3203206356 3805143999 5073525332 6406412712 7610287998 8878669331 10147050664 15220575996 17757338662 26636007993 30441151992 35514677324 53272015986 71029354648 106544031972 135716802631 213088063944 271433605262 407150407893 542867210524 814300815786 950017618417 1085734421048 1628601631572 1900035236834 2850052855251 3257203263144 3800070473668 5700105710502 7600140947336 11400211421004 22800422842008