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22324135440 = 243593017231
BaseRepresentation
bin10100110010100111…
…110100011000010000
32010121210210120201010
4110302213310120100
5331204434313230
614131111410520
71420133006655
oct246247643020
963553716633
1022324135440
119516435412
1243b0383a40
13214a0505c9
14111ac37c2c
158a9d089b0
hex5329f4610

22324135440 has 40 divisors (see below), whose sum is σ = 69204820608. Its totient is φ = 5953102720.

The previous prime is 22324135433. The next prime is 22324135441. The reversal of 22324135440 is 4453142322.

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

It is a super-3 number, since 3×223241354403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22324135398 and 22324135407.

It is not an unprimeable number, because it can be changed into a prime (22324135441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46508376 + ... + 46508855.

Almost surely, 222324135440 is an apocalyptic number.

22324135440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22324135440 is an abundant number, since it is smaller than the sum of its proper divisors (46880685168).

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

22324135440 is a wasteful number, since it uses less digits than its factorization.

22324135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93017247 (or 93017241 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 22324135440 its reverse (4453142322), we get a palindrome (26777277762).

The spelling of 22324135440 in words is "twenty-two billion, three hundred twenty-four million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 93017231 186034462 279051693 372068924 465086155 558103386 744137848 930172310 1116206772 1395258465 1488275696 1860344620 2232413544 2790516930 3720689240 4464827088 5581033860 7441378480 11162067720 22324135440