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22302412013040 = 243592926716721
BaseRepresentation
bin1010001001000101011110…
…10110000111110111110000
32220222002102102212100020020
411010202233112013313300
510410400314433404130
6115233330414043440
74461203363151315
oct504425726076760
986862372770206
1022302412013040
117119444182225
1226024347a9580
13c5a1542aa553
1457162a318d0c
1528a20c16ce10
hex1448af587df0

22302412013040 has 40 divisors (see below), whose sum is σ = 69137477241168. Its totient is φ = 5947309870080.

The previous prime is 22302412012997. The next prime is 22302412013041. The reversal of 22302412013040 is 4031021420322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22302412013040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22302412013041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46463358121 + ... + 46463358600.

Almost surely, 222302412013040 is an apocalyptic number.

22302412013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22302412013040 is an abundant number, since it is smaller than the sum of its proper divisors (46835065228128).

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

22302412013040 is a wasteful number, since it uses less digits than its factorization.

22302412013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92926716737 (or 92926716731 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22302412013040 its reverse (4031021420322), we get a palindrome (26333433433362).

The spelling of 22302412013040 in words is "twenty-two trillion, three hundred two billion, four hundred twelve million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 92926716721 185853433442 278780150163 371706866884 464633583605 557560300326 743413733768 929267167210 1115120600652 1393900750815 1486827467536 1858534334420 2230241201304 2787801501630 3717068668840 4460482402608 5575603003260 7434137337680 11151206006520 22302412013040