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233403040 = 25513112213
BaseRepresentation
bin11011110100101…
…11001010100000
3121021012002210001
431322113022200
5434222344130
635054345344
75532615223
oct1572271240
9537162701
10233403040
1110a828182
12661bb254
1339481210
1422dd95ba
15157566ca
hexde972a0

233403040 has 48 divisors (see below), whose sum is σ = 593836488. Its totient is φ = 86178816.

The previous prime is 233403017. The next prime is 233403109. The reversal of 233403040 is 40304332.

233403040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 127148176 + 106254864 = 11276^2 + 10308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233402999 and 233403017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54027 + ... + 58186.

Almost surely, 2233403040 is an apocalyptic number.

233403040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233403040 is an abundant number, since it is smaller than the sum of its proper divisors (360433448).

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

233403040 is a wasteful number, since it uses less digits than its factorization.

233403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112241 (or 112233 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 233403040 is about 15277.5338323959. The cubic root of 233403040 is about 615.6995498887.

Adding to 233403040 its reverse (40304332), we get a palindrome (273707372).

The spelling of 233403040 in words is "two hundred thirty-three million, four hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 112213 224426 448852 561065 897704 1122130 1458769 1795408 2244260 2917538 3590816 4488520 5835076 7293845 8977040 11670152 14587690 17954080 23340304 29175380 46680608 58350760 116701520 233403040