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233541940 = 22564118217
BaseRepresentation
bin11011110101110…
…01000100110100
3121021110011022111
431322321010310
5434241320230
635101340404
75534034202
oct1572710464
9537404274
10233541940
1110a912575
1266267704
13394cc4c8
1423034072
151578292a
hexdeb9134

233541940 has 24 divisors (see below), whose sum is σ = 491230152. Its totient is φ = 93265920.

The previous prime is 233541923. The next prime is 233541943. The reversal of 233541940 is 49145332.

It can be written as a sum of positive squares in 4 ways, for example, as 37429924 + 196112016 = 6118^2 + 14004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233541943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3712 + ... + 21928.

It is an arithmetic number, because the mean of its divisors is an integer number (20467923).

Almost surely, 2233541940 is an apocalyptic number.

233541940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233541940 is an abundant number, since it is smaller than the sum of its proper divisors (257688212).

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

233541940 is a wasteful number, since it uses less digits than its factorization.

233541940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18867 (or 18865 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 233541940 is about 15282.0790470407. The cubic root of 233541940 is about 615.8216615635.

The spelling of 233541940 in words is "two hundred thirty-three million, five hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 641 1282 2564 3205 6410 12820 18217 36434 72868 91085 182170 364340 11677097 23354194 46708388 58385485 116770970 233541940