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22032110144 = 2611297314783
BaseRepresentation
bin10100100001001101…
…110101001001000000
32002212110022011022102
4110201031311021000
5330110210011034
614042120325532
71406655563162
oct244115651100
962773264272
1022032110144
1193866084a0
12432a6138a8
1321016b5585
1410d013c932
1588e37297e
hex521375240

22032110144 has 112 divisors (see below), whose sum is σ = 50018411520. Its totient is φ = 9536163840.

The previous prime is 22032110137. The next prime is 22032110183. The reversal of 22032110144 is 44101123022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482977 + ... + 1497759.

It is an arithmetic number, because the mean of its divisors is an integer number (446592960).

Almost surely, 222032110144 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 22032110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25009205760).

22032110144 is an abundant number, since it is smaller than the sum of its proper divisors (27986301376).

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

22032110144 is a wasteful number, since it uses less digits than its factorization.

22032110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14908 (or 14898 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22032110144 its reverse (44101123022), we get a palindrome (66133233166).

The spelling of 22032110144 in words is "twenty-two billion, thirty-two million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 73 88 116 146 176 232 292 319 352 464 584 638 704 803 928 1168 1276 1606 1856 2117 2336 2552 3212 4234 4672 5104 6424 8468 10208 12848 14783 16936 20416 23287 25696 29566 33872 46574 51392 59132 67744 93148 118264 135488 162613 186296 236528 325226 372592 428707 473056 650452 745184 857414 946112 1079159 1300904 1490368 1714828 2158318 2601808 3429656 4316636 4715777 5203616 6859312 8633272 9431554 10407232 11870749 13718624 17266544 18863108 23741498 27437248 31295611 34533088 37726216 47482996 62591222 69066176 75452432 94965992 125182444 150904864 189931984 250364888 301809728 344251721 379863968 500729776 688503442 759727936 1001459552 1377006884 2002919104 2754013768 5508027536 11016055072 22032110144