Search a number
-
+
122302324440 = 23345233162007
BaseRepresentation
bin111000111100111001…
…0010101111011011000
3102200200110101210220000
41301321302111323120
54000433343340230
6132103535133000
711556523414362
oct1617162257330
9380613353800
10122302324440
114796052359a
121b852974160
13b6c119451a
145cc301bd32
1532ac185b60
hex1c79c95ed8

122302324440 has 160 divisors (see below), whose sum is σ = 412838506080. Its totient is φ = 32473778688.

The previous prime is 122302324421. The next prime is 122302324447. The reversal of 122302324440 is 44423203221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122302324447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673917 + ... + 835923.

It is an arithmetic number, because the mean of its divisors is an integer number (2580240663).

Almost surely, 2122302324440 is an apocalyptic number.

122302324440 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 122302324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206419253040).

122302324440 is an abundant number, since it is smaller than the sum of its proper divisors (290536181640).

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

122302324440 is a wasteful number, since it uses less digits than its factorization.

122302324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162263 (or 162250 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 122302324440 its reverse (44423203221), we get a palindrome (166725527661).

The spelling of 122302324440 in words is "one hundred twenty-two billion, three hundred two million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 233 270 324 360 405 466 540 648 699 810 932 1080 1165 1398 1620 1864 2097 2330 2796 3240 3495 4194 4660 5592 6291 6990 8388 9320 10485 12582 13980 16776 18873 20970 25164 27960 31455 37746 41940 50328 62910 75492 83880 94365 125820 150984 162007 188730 251640 324014 377460 486021 648028 754920 810035 972042 1296056 1458063 1620070 1944084 2430105 2916126 3240140 3888168 4374189 4860210 5832252 6480280 7290315 8748378 9720420 11664504 13122567 14580630 17496756 19440840 21870945 26245134 29161260 34993512 37747631 43741890 52490268 58322520 65612835 75495262 87483780 104980536 113242893 131225670 150990524 174967560 188738155 226485786 262451340 301981048 339728679 377476310 452971572 524902680 566214465 679457358 754952620 905943144 1019186037 1132428930 1358914716 1509905240 1698643395 2038372074 2264857860 2717829432 3057558111 3397286790 4076744148 4529715720 5095930185 6115116222 6794573580 8153488296 10191860370 12230232444 13589147160 15287790555 20383720740 24460464888 30575581110 40767441480 61151162220 122302324440