Search a number
-
+
253232031 = 313294143127
BaseRepresentation
bin11110001100000…
…00001110011111
3122122111112001010
433012000032133
51004311411111
641043350303
76163302543
oct1706001637
9578445033
10253232031
1111aa40a78
1270982393
1340604850
14258bba23
1517371aa6
hexf18039f

253232031 has 64 divisors (see below), whose sum is σ = 397393920. Its totient is φ = 142248960.

The previous prime is 253232003. The next prime is 253232101. The reversal of 253232031 is 130232352.

253232031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253232031 - 27 = 253231903 is a prime.

It is a super-2 number, since 2×2532320312 = 128252923048769922, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 253231989 and 253232007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253232131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1993890 + ... + 1994016.

It is an arithmetic number, because the mean of its divisors is an integer number (6209280).

Almost surely, 2253232031 is an apocalyptic number.

253232031 is a deficient number, since it is larger than the sum of its proper divisors (144161889).

253232031 is a wasteful number, since it uses less digits than its factorization.

253232031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 253232031 is about 15913.2658810189. The cubic root of 253232031 is about 632.6636453673.

Adding to 253232031 its reverse (130232352), we get a palindrome (383464383).

The spelling of 253232031 in words is "two hundred fifty-three million, two hundred thirty-two thousand, thirty-one".

Divisors: 1 3 13 29 39 41 43 87 123 127 129 377 381 533 559 1131 1189 1247 1599 1651 1677 1763 3567 3683 3741 4953 5207 5289 5461 11049 15457 15621 16211 16383 22919 46371 47879 48633 51127 67691 68757 70993 143637 151003 153381 158369 203073 212979 223901 453009 475107 664651 671703 1963039 1993953 2058797 2910713 5889117 6176391 6493129 8732139 19479387 84410677 253232031