Search a number
-
+
22214021214144 = 2631318811002487
BaseRepresentation
bin1010000110100000110101…
…10101111110111111000000
32220122122021022222112000210
411003100122311332333000
510402423303412323034
6115124551440314120
74451624103566214
oct503203265767700
986578238875023
1022214021214144
117094a05947801
1225a9286912940
13c51a08993096
1456b243028944
15287c8720b8e9
hex14341ad7efc0

22214021214144 has 112 divisors (see below), whose sum is σ = 59290540759296. Its totient is φ = 7339801497600.

The previous prime is 22214021214137. The next prime is 22214021214179. The reversal of 22214021214144 is 44141212041222.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21657669 + ... + 22660155.

It is an arithmetic number, because the mean of its divisors is an integer number (529379828208).

Almost surely, 222214021214144 is an apocalyptic number.

22214021214144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22214021214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29645270379648).

22214021214144 is an abundant number, since it is smaller than the sum of its proper divisors (37076519545152).

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

22214021214144 is a wasteful number, since it uses less digits than its factorization.

22214021214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003514 (or 1003504 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 22214021214144 its reverse (44141212041222), we get a palindrome (66355233255366).

The spelling of 22214021214144 in words is "twenty-two trillion, two hundred fourteen billion, twenty-one million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 786 881 1048 1572 1762 2096 2643 3144 3524 4192 5286 6288 7048 8384 10572 12576 14096 21144 25152 28192 42288 56384 84576 115411 169152 230822 346233 461644 692466 923288 1002487 1384932 1846576 2004974 2769864 3007461 3693152 4009948 5539728 6014922 7386304 8019896 11079456 12029844 16039792 22158912 24059688 32079584 48119376 64159168 96238752 131325797 192477504 262651594 393977391 525303188 787954782 883191047 1050606376 1575909564 1766382094 2101212752 2649573141 3151819128 3532764188 4202425504 5299146282 6303638256 7065528376 8404851008 10598292564 12607276512 14131056752 21196585128 25214553024 28262113504 42393170256 56524227008 84786340512 115698027157 169572681024 231396054314 347094081471 462792108628 694188162942 925584217256 1388376325884 1851168434512 2776752651768 3702336869024 5553505303536 7404673738048 11107010607072 22214021214144