Search a number
-
+
222222011120120 = 2351123102547214133
BaseRepresentation
bin110010100001110000011000…
…000010001011100111111000
31002010211012212001000212002202
4302201300120002023213320
5213111341134321320440
62104343214345245332
764544003411253404
oct6241603002134770
91063735761025082
10222222011120120
1164896909a63730
1220b10145a93848
1396cc5a436c77b
143cc3861c4a104
151aa5787950615
hexca1c1808b9f8

222222011120120 has 128 divisors (see below), whose sum is σ = 569177628157440. Its totient is φ = 77293497853440.

The previous prime is 222222011120117. The next prime is 222222011120129. The reversal of 222222011120120 is 21021110222222.

It is a super-4 number, since 4×2222220111201204 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222222011120092 and 222222011120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222222011120129) 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, 1037668574 + ... + 1037882706.

It is an arithmetic number, because the mean of its divisors is an integer number (4446700219980).

Almost surely, 2222222011120120 is an apocalyptic number.

222222011120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222222011120120 is an abundant number, since it is smaller than the sum of its proper divisors (346955617037320).

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

222222011120120 is a wasteful number, since it uses less digits than its factorization.

222222011120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316725 (or 316721 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222222011120120 its reverse (21021110222222), we get a palindrome (243243121342342).

The spelling of 222222011120120 in words is "two hundred twenty-two trillion, two hundred twenty-two billion, eleven million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 102547 205094 214133 410188 428266 512735 820376 856532 1025470 1070665 1128017 1713064 2050940 2141330 2256034 2355463 2358581 4101880 4282660 4512068 4710926 4717162 4925059 5640085 8565320 9024136 9421852 9434324 9850118 11280170 11777315 11792905 18843704 18868648 19700236 22560340 23554630 23585810 24625295 25944391 39400472 45120680 47109260 47171620 49250590 51888782 54175649 94218520 94343240 98501180 103777564 108351298 129721955 197002360 207555128 216702596 259443910 270878245 433405192 518887820 541756490 1037775640 1083512980 2167025960 21958696751 43917393502 87834787004 109793483755 175669574008 219586967510 241545664261 439173935020 483091328522 505050025273 878347870040 966182657044 1010100050546 1207728321305 1932365314088 2020200101092 2415456642610 2525250126365 4040400202184 4830913285220 5050500252730 5555550278003 9661826570440 10101000505460 11111100556006 20202001010920 22222201112012 27777751390015 44444402224024 55555502780030 111111005560060 222222011120120