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233254540 = 225293112973
BaseRepresentation
bin11011110011100…
…10111010001100
3121020220120002001
431321302322030
5434203121130
635051242044
75531426251
oct1571627214
9536816061
10233254540
1110a736652
1266149324
133942b74c
1422d9b428
15157276ca
hexde72e8c

233254540 has 48 divisors (see below), whose sum is σ = 523111680. Its totient is φ = 87171840.

The previous prime is 233254513. The next prime is 233254547. The reversal of 233254540 is 45452332.

It is a super-2 number, since 2×2332545402 = 108815360861223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233254499 and 233254508.

It is not an unprimeable number, because it can be changed into a prime (233254547) 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, 11494 + ... + 24466.

It is an arithmetic number, because the mean of its divisors is an integer number (10898160).

Almost surely, 2233254540 is an apocalyptic number.

233254540 is a gapful number since it is divisible by the number (20) 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 233254540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261555840).

233254540 is an abundant number, since it is smaller than the sum of its proper divisors (289857140).

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

233254540 is a wasteful number, since it uses less digits than its factorization.

233254540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 233254540 is about 15272.6729815052. The cubic root of 233254540 is about 615.5689449335.

The spelling of 233254540 in words is "two hundred thirty-three million, two hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1798 3596 4495 8990 12973 17980 25946 51892 64865 129730 259460 376217 402163 752434 804326 1504868 1608652 1881085 2010815 3762170 4021630 7524340 8043260 11662727 23325454 46650908 58313635 116627270 233254540