Search a number
-
+
253114631 = 71111532851
BaseRepresentation
bin11110001011000…
…11100100000111
3122122021112222222
433011203210013
51004244132011
641041042555
76162303350
oct1705434407
9578245888
10253114631
1111a970850
127092645b
1340593293
142588ad27
151734bddb
hexf163907

253114631 has 16 divisors (see below), whose sum is σ = 315955968. Its totient is φ = 196992000.

The previous prime is 253114601. The next prime is 253114633. The reversal of 253114631 is 136411352.

253114631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 253114631 - 210 = 253113607 is a prime.

It is a super-2 number, since 2×2531146312 = 128134032852532322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 253114631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253114633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87356 + ... + 90206.

It is an arithmetic number, because the mean of its divisors is an integer number (19747248).

Almost surely, 2253114631 is an apocalyptic number.

253114631 is a deficient number, since it is larger than the sum of its proper divisors (62841337).

253114631 is a wasteful number, since it uses less digits than its factorization.

253114631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022.

The product of its digits is 2160, while the sum is 26.

The square root of 253114631 is about 15909.5767071283. The cubic root of 253114631 is about 632.5658612749.

Adding to 253114631 its reverse (136411352), we get a palindrome (389525983).

The spelling of 253114631 in words is "two hundred fifty-three million, one hundred fourteen thousand, six hundred thirty-one".

Divisors: 1 7 11 77 1153 2851 8071 12683 19957 31361 88781 219527 3287203 23010421 36159233 253114631