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122224050 = 2325213171229
BaseRepresentation
bin1110100100011…
…11110110110010
322111222121212200
413102033312302
5222242132200
620043404030
73012613224
oct722176662
9274877780
10122224050
1162aa0813
1234b23616
131c425330
1412338414
15aae4800
hex748fdb2

122224050 has 144 divisors (see below), whose sum is σ = 374741640. Its totient is φ = 28293120.

The previous prime is 122224049. The next prime is 122224073. The reversal of 122224050 is 50422221.

It can be written as a sum of positive squares in 12 ways, for example, as 32182929 + 90041121 = 5673^2 + 9489^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98836 + ... + 100064.

Almost surely, 2122224050 is an apocalyptic number.

122224050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122224050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187370820).

122224050 is an abundant number, since it is smaller than the sum of its proper divisors (252517590).

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

122224050 is a wasteful number, since it uses less digits than its factorization.

122224050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 122224050 is about 11055.4986319026. The cubic root of 122224050 is about 496.2709914623.

Adding to 122224050 its reverse (50422221), we get a palindrome (172646271).

The spelling of 122224050 in words is "one hundred twenty-two million, two hundred twenty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 65 75 78 85 90 102 117 130 150 153 170 195 221 225 234 255 306 325 390 425 442 450 510 585 650 663 765 850 975 1105 1170 1229 1275 1326 1530 1950 1989 2210 2458 2550 2925 3315 3687 3825 3978 5525 5850 6145 6630 7374 7650 9945 11050 11061 12290 15977 16575 18435 19890 20893 22122 30725 31954 33150 36870 41786 47931 49725 55305 61450 62679 79885 92175 95862 99450 104465 110610 125358 143793 159770 184350 188037 208930 239655 271609 276525 287586 313395 376074 399425 479310 522325 543218 553050 626790 718965 798850 814827 940185 1044650 1198275 1358045 1437930 1566975 1629654 1880370 2396550 2444481 2716090 3133950 3594825 4074135 4700925 4888962 6790225 7189650 8148270 9401850 12222405 13580450 20370675 24444810 40741350 61112025 122224050