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2242040421348 = 2233713228127841
BaseRepresentation
bin100000101000000100000…
…001011101101111100100
321221100002122121012212000
4200220010001131233210
5243213144321440343
64433551255125300
7320660565066120
oct40500401355744
97840078535760
102242040421348
11794931405862
12302632973830
131335675936c0
147a73011a580
153d4c2132ed3
hex20a0405dbe4

2242040421348 has 96 divisors (see below), whose sum is σ = 7154089125120. Its totient is φ = 591307361280.

The previous prime is 2242040421347. The next prime is 2242040421349. The reversal of 2242040421348 is 8431240402422.

2242040421348 is a `hidden beast` number, since 2 + 24 + 204 + 0 + 421 + 3 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2242040421347) and next prime (2242040421349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2242040421347) 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, 114054093 + ... + 114073748.

It is an arithmetic number, because the mean of its divisors is an integer number (74521761720).

Almost surely, 22242040421348 is an apocalyptic number.

2242040421348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2242040421348 is an abundant number, since it is smaller than the sum of its proper divisors (4912048703772).

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

2242040421348 is a wasteful number, since it uses less digits than its factorization.

2242040421348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228127874 (or 228127866 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 2242040421348 in words is "two trillion, two hundred forty-two billion, forty million, four hundred twenty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 228127841 456255682 684383523 912511364 1368767046 1596894887 2053150569 2737534092 2965661933 3193789774 4106301138 4790684661 5931323866 6159451707 6387579548 8212602276 8896985799 9581369322 11862647732 12318903414 14372053983 17793971598 19162738644 20759633531 24637806828 26690957397 28744107966 35587943196 41519267062 43116161949 53381914794 57488215932 62278900593 80072872191 83038534124 86232323898 106763829588 124557801186 160145744382 172464647796 186836701779 249115602372 320291488764 373673403558 560510105337 747346807116 1121020210674 2242040421348