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22340342134420 = 2253730189651533
BaseRepresentation
bin1010001010001100001000…
…01010000011011010010100
32221002201022212002011001121
411011012010022003122110
510412011010041300140
6115303002252133324
74464015334650502
oct505060412033224
987081285064047
1022340342134420
1171335387a5882
12260985b467244
13c608ba58a25b
145733c7a3b672
1528b1cc08c64a
hex145184283694

22340342134420 has 24 divisors (see below), whose sum is σ = 48182683848264. Its totient is φ = 8694619641216.

The previous prime is 22340342134349. The next prime is 22340342134463. The reversal of 22340342134420 is 2443124304322.

It can be written as a sum of positive squares in 4 ways, for example, as 7407465815556 + 14932876318864 = 2721666^2 + 3864308^2 .

It is a super-2 number, since 2×223403421344202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 15094825027 + ... + 15094826506.

It is an arithmetic number, because the mean of its divisors is an integer number (2007611827011).

Almost surely, 222340342134420 is an apocalyptic number.

22340342134420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22340342134420 is an abundant number, since it is smaller than the sum of its proper divisors (25842341713844).

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

22340342134420 is a wasteful number, since it uses less digits than its factorization.

22340342134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30189651579 (or 30189651577 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 22340342134420 its reverse (2443124304322), we get a palindrome (24783466438742).

The spelling of 22340342134420 in words is "twenty-two trillion, three hundred forty billion, three hundred forty-two million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 30189651533 60379303066 120758606132 150948257665 301896515330 603793030660 1117017106721 2234034213442 4468068426884 5585085533605 11170171067210 22340342134420