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22322140000040 = 235691433807097
BaseRepresentation
bin1010001001101010001110…
…01110011010111100101000
32221000222100022112220210102
411010311013032122330220
510411211220320000130
6115250352145204532
74462502303241356
oct504650716327450
987028308486712
1022322140000040
117126848102911
12260621b630748
13c5bc7950603a
1457257c4347d6
1528a9b40a7645
hex144d4739af28

22322140000040 has 32 divisors (see below), whose sum is σ = 50224949867880. Its totient is φ = 8928832023552.

The previous prime is 22322140000021. The next prime is 22322140000057. The reversal of 22322140000040 is 4000004122322.

It can be written as a sum of positive squares in 4 ways, for example, as 11024245997284 + 11297894002756 = 3320278^2 + 3361234^2 .

It is a super-3 number, since 3×223221400000403 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22322139999967 and 22322140000021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27253772 + ... + 28060868.

Almost surely, 222322140000040 is an apocalyptic number.

22322140000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22322140000040 is an abundant number, since it is smaller than the sum of its proper divisors (27902809867840).

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

22322140000040 is a wasteful number, since it uses less digits than its factorization.

22322140000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498541 (or 1498537 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22322140000040 its reverse (4000004122322), we get a palindrome (26322144122362).

The spelling of 22322140000040 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred forty million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 691433 807097 1382866 1614194 2765732 3228388 3457165 4035485 5531464 6456776 6914330 8070970 13828660 16141940 27657320 32283880 558053500001 1116107000002 2232214000004 2790267500005 4464428000008 5580535000010 11161070000020 22322140000040