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233403140 = 225431272137
BaseRepresentation
bin11011110100101…
…11001100000100
3121021012002220202
431322113030010
5434222400030
635054350032
75532615425
oct1572271404
9537162822
10233403140
1110a828263
12661bb318
1339481289
1422dd964c
1515756745
hexde97304

233403140 has 48 divisors (see below), whose sum is σ = 505731072. Its totient is φ = 90429696.

The previous prime is 233403133. The next prime is 233403151. The reversal of 233403140 is 41304332.

233403140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108152 + ... + 110288.

It is an arithmetic number, because the mean of its divisors is an integer number (10536064).

Almost surely, 2233403140 is an apocalyptic number.

233403140 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 233403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252865536).

233403140 is an abundant number, since it is smaller than the sum of its proper divisors (272327932).

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

233403140 is a wasteful number, since it uses less digits than its factorization.

233403140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 233403140 is about 15277.5371051750. The cubic root of 233403140 is about 615.6996378195.

Adding to 233403140 its reverse (41304332), we get a palindrome (274707472).

The spelling of 233403140 in words is "two hundred thirty-three million, four hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 127 172 215 254 430 508 635 860 1270 2137 2540 4274 5461 8548 10685 10922 21370 21844 27305 42740 54610 91891 109220 183782 271399 367564 459455 542798 918910 1085596 1356995 1837820 2713990 5427980 11670157 23340314 46680628 58350785 116701570 233403140