Search a number
-
+
153022997 is a prime number
BaseRepresentation
bin10010001111011…
…11001000010101
3101122221101002102
421013233020111
5303133213442
623103451445
73535450121
oct1107571025
9348841072
10153022997
1179417496
12432b6b85
1325919b6a
1416474581
15d67a232
hex91ef215

153022997 has 2 divisors, whose sum is σ = 153022998. Its totient is φ = 153022996.

The previous prime is 153022993. The next prime is 153022999. The reversal of 153022997 is 799220351.

153022997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133033156 + 19989841 = 11534^2 + 4471^2 .

It is a cyclic number.

It is not a de Polignac number, because 153022997 - 22 = 153022993 is a prime.

It is a super-2 number, since 2×1530229972 = 46832075221724018, which contains 22 as substring.

Together with 153022999, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 153022997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153022993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76511498 + 76511499.

It is an arithmetic number, because the mean of its divisors is an integer number (76511499).

Almost surely, 2153022997 is an apocalyptic number.

It is an amenable number.

153022997 is a deficient number, since it is larger than the sum of its proper divisors (1).

153022997 is an equidigital number, since it uses as much as digits as its factorization.

153022997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 153022997 is about 12370.2464405524. The cubic root of 153022997 is about 534.8749199542.

The spelling of 153022997 in words is "one hundred fifty-three million, twenty-two thousand, nine hundred ninety-seven".