Search a number
-
+
122233302320 = 24547113287689
BaseRepresentation
bin111000111010110101…
…1000010110100110000
3102200111122112010100012
41301311223002310300
54000313211133240
6132053031514052
711555024632613
oct1616553026460
9380448463305
10122233302320
1147925570218
121b833828928
13b6acaa8b2c
145cb7bb217a
1532a609eb65
hex1c75ac2d30

122233302320 has 80 divisors (see below), whose sum is σ = 292808580480. Its totient is φ = 47429394432.

The previous prime is 122233302293. The next prime is 122233302341. The reversal of 122233302320 is 23203332221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281036 + ... + 568724.

It is an arithmetic number, because the mean of its divisors is an integer number (3660107256).

Almost surely, 2122233302320 is an apocalyptic number.

122233302320 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 122233302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146404290240).

122233302320 is an abundant number, since it is smaller than the sum of its proper divisors (170575278160).

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

122233302320 is a wasteful number, since it uses less digits than its factorization.

122233302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287862 (or 287856 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 122233302320 its reverse (23203332221), we get a palindrome (145436634541).

The spelling of 122233302320 in words is "one hundred twenty-two billion, two hundred thirty-three million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 113 188 226 235 376 452 470 565 752 904 940 1130 1808 1880 2260 3760 4520 5311 9040 10622 21244 26555 42488 53110 84976 106220 212440 287689 424880 575378 1150756 1438445 2301512 2876890 4603024 5753780 11507560 13521383 23015120 27042766 32508857 54085532 65017714 67606915 108171064 130035428 135213830 162544285 216342128 260070856 270427660 325088570 520141712 540855320 650177140 1081710640 1300354280 1527916279 2600708560 3055832558 6111665116 7639581395 12223330232 15279162790 24446660464 30558325580 61116651160 122233302320