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122255040 = 2635347367
BaseRepresentation
bin1110100100101…
…11011011000000
322112001012101110
413102113123000
5222244130130
620044203320
73013102455
oct722273300
9275035343
10122255040
1163012026
1234b39540
131c43647b
141234582c
15aaedab0
hex74976c0

122255040 has 112 divisors (see below), whose sum is σ = 390339072. Its totient is φ = 32418816.

The previous prime is 122255027. The next prime is 122255057. The reversal of 122255040 is 40552221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122254998 and 122255016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332937 + ... + 333303.

Almost surely, 2122255040 is an apocalyptic number.

122255040 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 122255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195169536).

122255040 is an abundant number, since it is smaller than the sum of its proper divisors (268084032).

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

122255040 is a wasteful number, since it uses less digits than its factorization.

122255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 122255040 is about 11056.9001080773. The cubic root of 122255040 is about 496.3129312125.

The spelling of 122255040 in words is "one hundred twenty-two million, two hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 347 367 480 694 734 960 1041 1101 1388 1468 1735 1835 2082 2202 2776 2936 3470 3670 4164 4404 5205 5505 5552 5872 6940 7340 8328 8808 10410 11010 11104 11744 13880 14680 16656 17616 20820 22020 22208 23488 27760 29360 33312 35232 41640 44040 55520 58720 66624 70464 83280 88080 111040 117440 127349 166560 176160 254698 333120 352320 382047 509396 636745 764094 1018792 1273490 1528188 1910235 2037584 2546980 3056376 3820470 4075168 5093960 6112752 7640940 8150336 10187920 12225504 15281880 20375840 24451008 30563760 40751680 61127520 122255040