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122973228 = 2234759919
BaseRepresentation
bin1110101010001…
…10110000101100
322120101200120000
413111012300230
5222440120403
620111424300
73022153350
oct725066054
9276350500
10122973228
1163462674
1235225090
131c628331
1412491460
15abe17a3
hex7546c2c

122973228 has 120 divisors (see below), whose sum is σ = 374035200. Its totient is φ = 34502112.

The previous prime is 122973209. The next prime is 122973239. The reversal of 122973228 is 822379221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122973192 and 122973201.

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 39 ways as a sum of consecutive naturals, for example, 133353 + ... + 134271.

It is an arithmetic number, because the mean of its divisors is an integer number (3116960).

Almost surely, 2122973228 is an apocalyptic number.

122973228 is a gapful number since it is divisible by the number (18) 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 122973228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187017600).

122973228 is an abundant number, since it is smaller than the sum of its proper divisors (251061972).

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

122973228 is a wasteful number, since it uses less digits than its factorization.

122973228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 990 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 122973228 is about 11089.3294657522. The cubic root of 122973228 is about 497.2828988013.

It can be divided in two parts, 122973 and 228, that added together give a square (123201 = 3512).

The spelling of 122973228 in words is "one hundred twenty-two million, nine hundred seventy-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 81 84 108 118 126 162 177 189 236 252 324 354 378 413 531 567 708 756 826 919 1062 1134 1239 1593 1652 1838 2124 2268 2478 2757 3186 3676 3717 4779 4956 5514 6372 6433 7434 8271 9558 11028 11151 12866 14868 16542 19116 19299 22302 24813 25732 33084 33453 38598 44604 49626 54221 57897 66906 74439 77196 99252 108442 115794 133812 148878 162663 173691 216884 231588 297756 325326 347382 379547 487989 521073 650652 694764 759094 975978 1042146 1138641 1463967 1518188 1951956 2084292 2277282 2927934 3415923 4391901 4554564 5855868 6831846 8783802 10247769 13663692 17567604 20495538 30743307 40991076 61486614 122973228