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122150000 = 24557349
BaseRepresentation
bin1110100011111…
…01110001110000
322111211212022002
413101331301300
5222232300000
620042033132
73012154310
oct721756160
9274755262
10122150000
1162a50115
1234aa87a8
131c3ca70b
1412319440
15aacc8d5
hex747dc70

122150000 has 120 divisors (see below), whose sum is σ = 339040800. Its totient is φ = 41760000.

The previous prime is 122149969. The next prime is 122150009. The reversal of 122150000 is 51221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122150009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349826 + ... + 350174.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 2122150000 is an apocalyptic number.

122150000 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 122150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169520400).

122150000 is an abundant number, since it is smaller than the sum of its proper divisors (216890800).

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

122150000 is an frugal number, since it uses more digits than its factorization.

122150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 122150000 is about 11052.1491122768. The cubic root of 122150000 is about 496.1707485317.

The spelling of 122150000 in words is "one hundred twenty-two million, one hundred fifty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 349 350 400 500 560 625 698 700 875 1000 1250 1396 1400 1745 1750 2000 2443 2500 2792 2800 3125 3490 3500 4375 4886 5000 5584 6250 6980 7000 8725 8750 9772 10000 12215 12500 13960 14000 17450 17500 19544 21875 24430 25000 27920 34900 35000 39088 43625 43750 48860 50000 61075 69800 70000 87250 87500 97720 122150 139600 174500 175000 195440 218125 244300 305375 349000 350000 436250 488600 610750 698000 872500 977200 1090625 1221500 1526875 1745000 2181250 2443000 3053750 3490000 4362500 4886000 6107500 7634375 8725000 12215000 15268750 17450000 24430000 30537500 61075000 122150000