Search a number
-
+
22132023120 = 2433561916553
BaseRepresentation
bin10100100111001010…
…111101111101010000
32010010102022021011000
4110213022331331100
5330311244214440
614100050022000
71412311043514
oct244712757520
963112267130
1022132023120
119427a4a5a9
124357b77900
1321192c858c
1410dd50a144
1589800b730
hex5272bdf50

22132023120 has 160 divisors (see below), whose sum is σ = 76360291200. Its totient is φ = 5891982336.

The previous prime is 22132023097. The next prime is 22132023149. The reversal of 22132023120 is 2132023122.

22132023120 is a `hidden beast` number, since 221 + 320 + 2 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22132023093 and 22132023102.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1328764 + ... + 1345316.

It is an arithmetic number, because the mean of its divisors is an integer number (477251820).

Almost surely, 222132023120 is an apocalyptic number.

22132023120 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 22132023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38180145600).

22132023120 is an abundant number, since it is smaller than the sum of its proper divisors (54228268080).

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

22132023120 is a wasteful number, since it uses less digits than its factorization.

22132023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17194 (or 17182 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22132023120 its reverse (2132023122), we get a palindrome (24264046242).

The spelling of 22132023120 in words is "twenty-two billion, one hundred thirty-two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 619 720 1080 1238 1857 2160 2476 3095 3714 4952 5571 6190 7428 9285 9904 11142 12380 14856 16553 16713 18570 22284 24760 27855 29712 33106 33426 37140 44568 49520 49659 55710 66212 66852 74280 82765 83565 89136 99318 111420 132424 133704 148560 148977 165530 167130 198636 222840 248295 264848 267408 297954 331060 334260 397272 445680 446931 496590 595908 662120 668520 744885 794544 893862 993180 1191816 1324240 1337040 1489770 1787724 1986360 2234655 2383632 2979540 3575448 3972720 4469310 5959080 7150896 8938620 10246307 11918160 17877240 20492614 30738921 35754480 40985228 51231535 61477842 81970456 92216763 102463070 122955684 153694605 163940912 184433526 204926140 245911368 276650289 307389210 368867052 409852280 461083815 491822736 553300578 614778420 737734104 819704560 922167630 1106601156 1229556840 1383251445 1475468208 1844335260 2213202312 2459113680 2766502890 3688670520 4426404624 5533005780 7377341040 11066011560 22132023120