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22243131120 = 2435782915971
BaseRepresentation
bin10100101101110010…
…110011111011110000
32010102011101010200010
4110231302303323300
5331023220143440
614115055254520
71415130331530
oct245562637360
963364333603
1022243131120
1194847386a1
12438921a440
13213632b062
14111018d4c0
158a2b57580
hex52dcb3ef0

22243131120 has 160 divisors (see below), whose sum is σ = 78904235520. Its totient is φ = 5077693440.

The previous prime is 22243131103. The next prime is 22243131139. The reversal of 22243131120 is 2113134222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384735 + ... + 1400705.

It is an arithmetic number, because the mean of its divisors is an integer number (493151472).

Almost surely, 222243131120 is an apocalyptic number.

22243131120 is a gapful number since it is divisible by the number (20) 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 22243131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39452117760).

22243131120 is an abundant number, since it is smaller than the sum of its proper divisors (56661104400).

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

22243131120 is a wasteful number, since it uses less digits than its factorization.

22243131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16823 (or 16817 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22243131120 its reverse (2113134222), we get a palindrome (24356265342).

The spelling of 22243131120 in words is "twenty-two billion, two hundred forty-three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 829 840 1658 1680 2487 3316 4145 4974 5803 6632 8290 9948 11606 12435 13264 15971 16580 17409 19896 23212 24870 29015 31942 33160 34818 39792 46424 47913 49740 58030 63884 66320 69636 79855 87045 92848 95826 99480 111797 116060 127768 139272 159710 174090 191652 198960 223594 232120 239565 255536 278544 319420 335391 348180 383304 447188 464240 479130 558985 638840 670782 696360 766608 894376 958260 1117970 1277680 1341564 1392720 1676955 1788752 1916520 2235940 2683128 3353910 3833040 4471880 5366256 6707820 8943760 13239959 13415640 26479918 26831280 39719877 52959836 66199795 79439754 92679713 105919672 132399590 158879508 185359426 198599385 211839344 264799180 278039139 317759016 370718852 397198770 463398565 529598360 556078278 635518032 741437704 794397540 926797130 1059196720 1112156556 1390195695 1482875408 1588795080 1853594260 2224313112 2780391390 3177590160 3707188520 4448626224 5560782780 7414377040 11121565560 22243131120