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22404220144 = 242377277879
BaseRepresentation
bin10100110111011001…
…010100010011110000
32010211101111022021021
4110313121110103300
5331340440021034
614143052105224
71422124505035
oct246731242360
963741438237
1022404220144
119557664219
124413165214
1321608103c7
14112772338c
158b1d776b4
hex5376544f0

22404220144 has 40 divisors (see below), whose sum is σ = 45307100160. Its totient is φ = 10712315328.

The previous prime is 22404220133. The next prime is 22404220147. The reversal of 22404220144 is 44102240422.

It is a super-3 number, since 3×224042201443 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22404220147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2839597 + ... + 2847475.

It is an arithmetic number, because the mean of its divisors is an integer number (1132677504).

Almost surely, 222404220144 is an apocalyptic number.

It is an amenable number.

22404220144 is an abundant number, since it is smaller than the sum of its proper divisors (22902880016).

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

22404220144 is a wasteful number, since it uses less digits than its factorization.

22404220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15637 (or 15631 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 22404220144 its reverse (44102240422), we get a palindrome (66506460566).

The spelling of 22404220144 in words is "twenty-two billion, four hundred four million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 7727 7879 15454 15758 30908 31516 61816 63032 123632 126064 177721 181217 355442 362434 710884 724868 1421768 1449736 2843536 2899472 60881033 121762066 243524132 487048264 974096528 1400263759 2800527518 5601055036 11202110072 22404220144