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22440132232040 = 23519432300329851
BaseRepresentation
bin1010001101000110000000…
…00111000100001101101000
32221110020220101202100101002
411012203000013010031220
510420124342322411130
6115420504320214132
74504150252536635
oct506430007041550
987406811670332
1022440132232040
1171718966a5136
12262506aa6a348
13c6a1317563b3
14578172c5d18c
1528dabcb63b45
hex1468c01c4368

22440132232040 has 128 divisors (see below), whose sum is σ = 54387860313600. Its totient is φ = 8305230931200.

The previous prime is 22440132232031. The next prime is 22440132232057. The reversal of 22440132232040 is 4023223104422.

It is a junction number, because it is equal to n+sod(n) for n = 22440132231994 and 22440132232012.

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, 751723115 + ... + 751752965.

It is an arithmetic number, because the mean of its divisors is an integer number (424905158700).

Almost surely, 222440132232040 is an apocalyptic number.

22440132232040 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 22440132232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27193930156800).

22440132232040 is an abundant number, since it is smaller than the sum of its proper divisors (31947728081560).

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

22440132232040 is a wasteful number, since it uses less digits than its factorization.

22440132232040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52927 (or 52923 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 22440132232040 its reverse (4023223104422), we get a palindrome (26463355336462).

The spelling of 22440132232040 in words is "twenty-two trillion, four hundred forty billion, one hundred thirty-two million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1634 1720 3268 4085 6536 8170 16340 23003 29851 32680 46006 59702 92012 115015 119404 149255 184024 230030 238808 298510 437057 460060 567169 597020 874114 920120 989129 1134338 1194040 1283593 1748228 1978258 2185285 2268676 2567186 2835845 3496456 3956516 4370570 4537352 4945645 5134372 5671690 6417965 7913032 8741140 9891290 10268744 11343380 12835930 17482280 18793451 19782580 22686760 24388267 25671860 37586902 39565160 48776534 51343720 75173804 93967255 97553068 121941335 150347608 187934510 195106136 243882670 375869020 487765340 686662553 751738040 975530680 1373325106 2746650212 3433312765 5493300424 6866625530 13046588507 13733251060 26093177014 27466502120 29526489779 52186354028 59052979558 65232942535 104372708056 118105959116 130465885070 147632448895 236211918232 260931770140 295264897790 521863540280 561003305801 590529795580 1122006611602 1181059591160 2244013223204 2805016529005 4488026446408 5610033058010 11220066116020 22440132232040