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22332131040 = 2535266317471
BaseRepresentation
bin10100110011000110…
…010100011011100000
32010122100211210121110
4110303012110123200
5331214011143130
614131555023320
71420260660522
oct246306243340
963570753543
1022332131040
11951a9a664a
1243b2b9ab40
13214b8bca2b
14111bd19a12
158aa887ab0
hex5331946e0

22332131040 has 96 divisors (see below), whose sum is σ = 70376656896. Its totient is φ = 5952657920.

The previous prime is 22332131027. The next prime is 22332131053. The reversal of 22332131040 is 4013123322.

It is an interprime number because it is at equal distance from previous prime (22332131027) and next prime (22332131053).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 22332130998 and 22332131016.

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, 1269505 + ... + 1286975.

It is an arithmetic number, because the mean of its divisors is an integer number (733090176).

Almost surely, 222332131040 is an apocalyptic number.

22332131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22332131040 is an abundant number, since it is smaller than the sum of its proper divisors (48044525856).

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

22332131040 is a wasteful number, since it uses less digits than its factorization.

22332131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20152 (or 20144 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22332131040 its reverse (4013123322), we get a palindrome (26345254362).

The spelling of 22332131040 in words is "twenty-two billion, three hundred thirty-two million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2663 5326 7989 10652 13315 15978 17471 21304 26630 31956 34942 39945 42608 52413 53260 63912 69884 79890 85216 87355 104826 106520 127824 139768 159780 174710 209652 213040 255648 262065 279536 319560 349420 419304 426080 524130 559072 639120 698840 838608 1048260 1278240 1397680 1677216 2096520 2795360 4193040 8386080 46525273 93050546 139575819 186101092 232626365 279151638 372202184 465252730 558303276 697879095 744404368 930505460 1116606552 1395758190 1488808736 1861010920 2233213104 2791516380 3722021840 4466426208 5583032760 7444043680 11166065520 22332131040