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22143220144 = 2431435917597
BaseRepresentation
bin10100100111110101…
…101011100110110000
32010011012101010120121
4110213311223212300
5330322131021034
614101130020024
71412505160063
oct244765534660
963135333517
1022143220144
1194332a8041
12435b877614
13211b718c36
141100bc28da
15898ebe1b4
hex527d6b9b0

22143220144 has 80 divisors (see below), whose sum is σ = 46087050240. Its totient is φ = 10287325440.

The previous prime is 22143220091. The next prime is 22143220147. The reversal of 22143220144 is 44102234122.

It is not an unprimeable number, because it can be changed into a prime (22143220147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249554 + ... + 1267150.

It is an arithmetic number, because the mean of its divisors is an integer number (576088128).

Almost surely, 222143220144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22143220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23043525120).

22143220144 is an abundant number, since it is smaller than the sum of its proper divisors (23943830096).

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

22143220144 is a wasteful number, since it uses less digits than its factorization.

22143220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17738 (or 17732 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22143220144 its reverse (44102234122), we get a palindrome (66245454266).

The spelling of 22143220144 in words is "twenty-two billion, one hundred forty-three million, two hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 43 59 62 86 118 124 172 236 248 344 472 496 688 944 1333 1829 2537 2666 3658 5074 5332 7316 10148 10664 14632 17597 20296 21328 29264 35194 40592 70388 78647 140776 157294 281552 314588 545507 629176 756671 1038223 1091014 1258352 1513342 2076446 2182028 3026684 4152892 4364056 6053368 8305784 8728112 12106736 16611568 23456801 32184913 44643589 46913602 64369826 89287178 93827204 128739652 178574356 187654408 257479304 357148712 375308816 514958608 714297424 1383951259 2767902518 5535805036 11071610072 22143220144