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22322142412040 = 235558053560301
BaseRepresentation
bin1010001001101010001110…
…10111100111110100001000
32221000222100111002110102202
411010311013113213310020
510411211221424141130
6115250352313015332
74462502332605422
oct504650727476410
987028314073382
1022322142412040
1171268494aaaa9
1226062203b4548
13c5bc79b6bb63
1457257c8a1812
1528a9b43d2145
hex144d475e7d08

22322142412040 has 16 divisors (see below), whose sum is σ = 50224820427180. Its totient is φ = 8928856964800.

The previous prime is 22322142412021. The next prime is 22322142412069. The reversal of 22322142412040 is 4021424122322.

It can be written as a sum of positive squares in 2 ways, for example, as 21558507616996 + 763634795044 = 4643114^2 + 873862^2 .

It is a super-3 number, since 3×223221424120403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322142411994 and 22322142412012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279026780111 + ... + 279026780190.

Almost surely, 222322142412040 is an apocalyptic number.

22322142412040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22322142412040 is an abundant number, since it is smaller than the sum of its proper divisors (27902678015140).

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

22322142412040 is a wasteful number, since it uses less digits than its factorization.

22322142412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558053560312 (or 558053560308 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 22322142412040 its reverse (4021424122322), we get a palindrome (26343566534362).

The spelling of 22322142412040 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred forty-two million, four hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 558053560301 1116107120602 2232214241204 2790267801505 4464428482408 5580535603010 11161071206020 22322142412040