Search a number
-
+
122257140 = 22352037619
BaseRepresentation
bin1110100100101…
…11111011110100
322112001022021020
413102113323310
5222244212030
620044221140
73013111545
oct722277364
9275038236
10122257140
1163013665
1234b3a7b0
131c437405
14123464cc
15aaee510
hex7497ef4

122257140 has 24 divisors (see below), whose sum is σ = 342320160. Its totient is φ = 32601888.

The previous prime is 122257133. The next prime is 122257141. The reversal of 122257140 is 41752221.

It is a self number, because there is not a number n which added to its sum of digits gives 122257140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122257141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1018750 + ... + 1018869.

It is an arithmetic number, because the mean of its divisors is an integer number (14263340).

Almost surely, 2122257140 is an apocalyptic number.

122257140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122257140 is an abundant number, since it is smaller than the sum of its proper divisors (220063020).

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

122257140 is a wasteful number, since it uses less digits than its factorization.

122257140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037631 (or 2037629 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 122257140 is about 11056.9950709947. The cubic root of 122257140 is about 496.3157729527.

The spelling of 122257140 in words is "one hundred twenty-two million, two hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2037619 4075238 6112857 8150476 10188095 12225714 20376190 24451428 30564285 40752380 61128570 122257140