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122243340 = 223519157683
BaseRepresentation
bin1110100100101…
…00100100001100
322112000121100010
413102110210030
5222243241330
620044033220
73013023402
oct722244414
9275017303
10122243340
116300425a
1234b32810
131c43104b
1412341472
15aaea3b0
hex749490c

122243340 has 96 divisors (see below), whose sum is σ = 363121920. Its totient is φ = 30640896.

The previous prime is 122243333. The next prime is 122243347. The reversal of 122243340 is 43342221.

It is an interprime number because it is at equal distance from previous prime (122243333) and next prime (122243347).

It is not an unprimeable number, because it can be changed into a prime (122243347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178639 + ... + 179321.

It is an arithmetic number, because the mean of its divisors is an integer number (3782520).

Almost surely, 2122243340 is an apocalyptic number.

122243340 is a gapful number since it is divisible by the number (10) 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 122243340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181560960).

122243340 is an abundant number, since it is smaller than the sum of its proper divisors (240878580).

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

122243340 is a wasteful number, since it uses less digits than its factorization.

122243340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 122243340 is about 11056.3710140353. The cubic root of 122243340 is about 496.2970980642.

Adding to 122243340 its reverse (43342221), we get a palindrome (165585561).

The spelling of 122243340 in words is "one hundred twenty-two million, two hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 157 190 228 285 314 380 471 570 628 683 785 942 1140 1366 1570 1884 2049 2355 2732 2983 3140 3415 4098 4710 5966 6830 8196 8949 9420 10245 11932 12977 13660 14915 17898 20490 25954 29830 35796 38931 40980 44745 51908 59660 64885 77862 89490 107231 129770 155724 178980 194655 214462 259540 321693 389310 428924 536155 643386 778620 1072310 1286772 1608465 2037389 2144620 3216930 4074778 6112167 6433860 8149556 10186945 12224334 20373890 24448668 30560835 40747780 61121670 122243340