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22468365840 = 2435594213769
BaseRepresentation
bin10100111011001110…
…000000111000010000
32010222212012020121210
4110323032000320100
5332003400201330
614153303020120
71423533646524
oct247316007020
963885166553
1022468365840
11958a896898
12443073a640
132170bac33b
14113205dd84
158b77e88b0
hex53b380e10

22468365840 has 160 divisors (see below), whose sum is σ = 71019561600. Its totient is φ = 5874462720.

The previous prime is 22468365827. The next prime is 22468365841. The reversal of 22468365840 is 4856386422.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 22468365840.

It is not an unprimeable number, because it can be changed into a prime (22468365841) 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, 5959476 + ... + 5963244.

It is an arithmetic number, because the mean of its divisors is an integer number (443872260).

Almost surely, 222468365840 is an apocalyptic number.

22468365840 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 22468365840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35509780800).

22468365840 is an abundant number, since it is smaller than the sum of its proper divisors (48551195760).

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

22468365840 is a wasteful number, since it uses less digits than its factorization.

22468365840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 22468365840 in words is "twenty-two billion, four hundred sixty-eight million, three hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 421 472 590 708 842 885 944 1180 1263 1416 1684 1770 2105 2360 2526 2832 3368 3540 3769 4210 4720 5052 6315 6736 7080 7538 8420 10104 11307 12630 14160 15076 16840 18845 20208 22614 24839 25260 30152 33680 37690 45228 49678 50520 56535 60304 74517 75380 90456 99356 101040 113070 124195 149034 150760 180912 198712 222371 226140 248390 298068 301520 372585 397424 444742 452280 496780 596136 667113 745170 889484 904560 993560 1111855 1192272 1334226 1490340 1586749 1778968 1987120 2223710 2668452 2980680 3173498 3335565 3557936 4447420 4760247 5336904 5961360 6346996 6671130 7933745 8894840 9520494 10673808 12693992 13342260 15867490 17789680 19040988 23801235 25387984 26684520 31734980 38081976 47602470 53369040 63469960 76163952 93618191 95204940 126939920 187236382 190409880 280854573 374472764 380819760 468090955 561709146 748945528 936181910 1123418292 1404272865 1497891056 1872363820 2246836584 2808545730 3744727640 4493673168 5617091460 7489455280 11234182920 22468365840