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22221420144 = 24371116213709
BaseRepresentation
bin10100101100011111…
…111111011001110000
32010100122112002210220
4110230133333121300
5331002140421034
614113002053040
71414444645320
oct245437773160
963318462726
1022221420144
119473459940
124381aaa180
132131998c21
14110b33b280
158a0cb9749
hex52c7ff670

22221420144 has 160 divisors (see below), whose sum is σ = 71633748480. Its totient is φ = 5766681600.

The previous prime is 22221420127. The next prime is 22221420149. The reversal of 22221420144 is 44102412222.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221420149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5989362 + ... + 5993070.

It is an arithmetic number, because the mean of its divisors is an integer number (447710928).

Almost surely, 222221420144 is an apocalyptic number.

22221420144 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 22221420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35816874240).

22221420144 is an abundant number, since it is smaller than the sum of its proper divisors (49412328336).

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

22221420144 is a wasteful number, since it uses less digits than its factorization.

22221420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22221420144 its reverse (44102412222), we get a palindrome (66323832366).

The spelling of 22221420144 in words is "twenty-two billion, two hundred twenty-one million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1621 1848 3242 3696 3709 4863 6484 7418 9726 11127 11347 12968 14836 17831 19452 22254 22694 25936 25963 29672 34041 35662 38904 40799 44508 45388 51926 53493 59344 68082 71324 77808 77889 81598 89016 90776 103852 106986 122397 124817 136164 142648 155778 163196 178032 181552 207704 213972 244794 249634 272328 285296 285593 311556 326392 374451 415408 427944 489588 499268 544656 571186 623112 652784 748902 855888 856779 979176 998536 1142372 1246224 1497804 1713558 1958352 1997072 2284744 2995608 3427116 4569488 5991216 6012289 6854232 12024578 13708464 18036867 24049156 36073734 42086023 48098312 66135179 72147468 84172046 96196624 126258069 132270358 144294936 168344092 198405537 252516138 264540716 288589872 336688184 396811074 462946253 505032276 529081432 673376368 793622148 925892506 1010064552 1058162864 1388838759 1587244296 1851785012 2020129104 2777677518 3174488592 3703570024 5555355036 7407140048 11110710072 22221420144