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233055540 = 223251294753
BaseRepresentation
bin11011110010000…
…10010100110100
3121020112110002200
431321002110310
5434130234130
635043104500
75526640134
oct1571022464
9536473080
10233055540
1110a610093
1266072130
133938bcb3
1422d48ac4
15156d8760
hexde42534

233055540 has 36 divisors (see below), whose sum is σ = 706935684. Its totient is φ = 62148096.

The previous prime is 233055509. The next prime is 233055553. The reversal of 233055540 is 45550332.

It can be written as a sum of positive squares in 2 ways, for example, as 25522704 + 207532836 = 5052^2 + 14406^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 647197 + ... + 647556.

Almost surely, 2233055540 is an apocalyptic number.

233055540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233055540 is an abundant number, since it is smaller than the sum of its proper divisors (473880144).

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

233055540 is a wasteful number, since it uses less digits than its factorization.

233055540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294768 (or 1294763 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 233055540 is about 15266.1566872609. The cubic root of 233055540 is about 615.3938385557.

The spelling of 233055540 in words is "two hundred thirty-three million, fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1294753 2589506 3884259 5179012 6473765 7768518 11652777 12947530 15537036 19421295 23305554 25895060 38842590 46611108 58263885 77685180 116527770 233055540