Search a number
-
+
193872431 is a prime number
BaseRepresentation
bin10111000111001…
…00001000101111
3111111210201222102
423203210020233
5344112404211
631123205315
74542613514
oct1343441057
9444721872
10193872431
119a488255
1254b1683b
133122021c
141ba6930b
1512048a3b
hexb8e422f

193872431 has 2 divisors, whose sum is σ = 193872432. Its totient is φ = 193872430.

The previous prime is 193872421. The next prime is 193872433. The reversal of 193872431 is 134278391.

193872431 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-193872431 is a prime.

It is a super-2 number, since 2×1938724312 = 75173039003699522, which contains 22 as substring.

Together with 193872433, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (193872433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 96936215 + 96936216.

It is an arithmetic number, because the mean of its divisors is an integer number (96936216).

Almost surely, 2193872431 is an apocalyptic number.

193872431 is a deficient number, since it is larger than the sum of its proper divisors (1).

193872431 is an equidigital number, since it uses as much as digits as its factorization.

193872431 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 38.

The square root of 193872431 is about 13923.8080638883. The cubic root of 193872431 is about 578.7691207431.

The spelling of 193872431 in words is "one hundred ninety-three million, eight hundred seventy-two thousand, four hundred thirty-one".