Search a number
-
+
122083050 = 23523112617
BaseRepresentation
bin1110100011011…
…01011011101010
322111201110110110
413101231123222
5222223124200
620040355150
73011455155
oct721553352
9274643413
10122083050
1162a04891
1234a75ab6
131c3a60bb
14122dcc9c
15aab7b50
hex746d6ea

122083050 has 48 divisors (see below), whose sum is σ = 303855552. Its totient is φ = 32438400.

The previous prime is 122083033. The next prime is 122083079. The reversal of 122083050 is 50380221.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45342 + ... + 47958.

It is an arithmetic number, because the mean of its divisors is an integer number (6330324).

Almost surely, 2122083050 is an apocalyptic number.

122083050 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 122083050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151927776).

122083050 is an abundant number, since it is smaller than the sum of its proper divisors (181772502).

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

122083050 is a wasteful number, since it uses less digits than its factorization.

122083050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 122083050 is about 11049.1198744515. The cubic root of 122083050 is about 496.0800821311.

The spelling of 122083050 in words is "one hundred twenty-two million, eighty-three thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 311 622 933 1555 1866 2617 3110 4665 5234 7775 7851 9330 13085 15550 15702 23325 26170 39255 46650 65425 78510 130850 196275 392550 813887 1627774 2441661 4069435 4883322 8138870 12208305 20347175 24416610 40694350 61041525 122083050