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22133422314160 = 2451733157785213
BaseRepresentation
bin1010000100001010101101…
…10001100101001010110000
32220100221020020221011200221
411002011112301211022300
510400113222103023120
6115023542010222424
74443041560336423
oct502052661451260
986327206834627
1022133422314160
117063805974263
122595732424a14
13c472327592a1
145673989119ba
15285b1b38b0aa
hex142156c652b0

22133422314160 has 160 divisors (see below), whose sum is σ = 54747251790912. Its totient is φ = 8292913643520.

The previous prime is 22133422314121. The next prime is 22133422314191. The reversal of 22133422314160 is 6141322433122.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259699714 + ... + 259784926.

Almost surely, 222133422314160 is an apocalyptic number.

22133422314160 is a gapful number since it is divisible by the number (20) 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 22133422314160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27373625895456).

22133422314160 is an abundant number, since it is smaller than the sum of its proper divisors (32613829476752).

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

22133422314160 is a wasteful number, since it uses less digits than its factorization.

22133422314160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86151 (or 86145 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 22133422314160 its reverse (6141322433122), we get a palindrome (28274744747282).

The spelling of 22133422314160 in words is "twenty-two trillion, one hundred thirty-three billion, four hundred twenty-two million, three hundred fourteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 331 340 577 662 680 1154 1324 1360 1655 2308 2648 2885 3310 4616 5296 5627 5770 6620 9232 9809 11254 11540 13240 19618 22508 23080 26480 28135 39236 45016 46160 49045 56270 78472 85213 90032 98090 112540 156944 170426 190987 196180 225080 340852 381974 392360 426065 450160 681704 763948 784720 852130 954935 1363408 1448621 1527896 1704260 1909870 2897242 3055792 3246779 3408520 3819740 5794484 6493558 6817040 7243105 7639480 11588968 12987116 14486210 15278960 16233895 23177936 25974232 28205503 28972420 32467790 49167901 51948464 56411006 57944840 64935580 98335802 112822012 115889680 129871160 141027515 196671604 225644024 245839505 259742320 282055030 393343208 451288048 479493551 491679010 564110060 786686416 835854317 958987102 983358020 1128220120 1671708634 1917974204 1966716040 2256440240 2397467755 3343417268 3835948408 3933432080 4179271585 4794935510 6686834536 7671896816 8358543170 9589871020 13373669072 16274575231 16717086340 19179742040 32549150462 33434172680 38359484080 65098300924 66868345360 81372876155 130196601848 162745752310 260393203696 276667778927 325491504620 553335557854 650983009240 1106671115708 1301966018480 1383338894635 2213342231416 2766677789270 4426684462832 5533355578540 11066711157080 22133422314160