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231354144 = 2534741311
BaseRepresentation
bin11011100101000…
…10111100100000
3121010100000020000
431302202330200
5433211313034
634542420000
75506322610
oct1562427440
9533300200
10231354144
1110965887a
1265591600
1338c14758
1422a24a40
151549e599
hexdca2f20

231354144 has 240 divisors, whose sum is σ = 799134336. Its totient is φ = 64281600.

The previous prime is 231354121. The next prime is 231354191. The reversal of 231354144 is 441453132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743749 + ... + 744059.

Almost surely, 2231354144 is an apocalyptic number.

231354144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231354144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399567168).

231354144 is an abundant number, since it is smaller than the sum of its proper divisors (567780192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231354144 is a wasteful number, since it uses less digits than its factorization.

231354144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 364 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 231354144 is about 15210.3301739311. The cubic root of 231354144 is about 613.8926414521.

The spelling of 231354144 in words is "two hundred thirty-one million, three hundred fifty-four thousand, one hundred forty-four".