Search a number
-
+
122152365 = 3255095333
BaseRepresentation
bin1110100011111…
…10010110101101
322111211222112200
413101332112231
5222232333430
620042052113
73012164226
oct721762655
9274758480
10122152365
1162a51975
1234aaa039
131c3cb80a
141231a24d
15aacd460
hex747e5ad

122152365 has 24 divisors (see below), whose sum is σ = 212186520. Its totient is φ = 65007744.

The previous prime is 122152343. The next prime is 122152367. The reversal of 122152365 is 563251221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69705801 + 52446564 = 8349^2 + 7242^2 .

It is not a de Polignac number, because 122152365 - 26 = 122152301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122152367) 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 23 ways as a sum of consecutive naturals, for example, 20239 + ... + 25571.

It is an arithmetic number, because the mean of its divisors is an integer number (8841105).

Almost surely, 2122152365 is an apocalyptic number.

122152365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122152365 is a deficient number, since it is larger than the sum of its proper divisors (90034155).

122152365 is a wasteful number, since it uses less digits than its factorization.

122152365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853 (or 5850 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 122152365 is about 11052.2561045245. The cubic root of 122152365 is about 496.1739507045.

The spelling of 122152365 in words is "one hundred twenty-two million, one hundred fifty-two thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 509 1527 2545 4581 5333 7635 15999 22905 26665 47997 79995 239985 2714497 8143491 13572485 24430473 40717455 122152365