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233542023 = 311132323669
BaseRepresentation
bin11011110101110…
…01000110000111
3121021110011102120
431322321012013
5434241321043
635101341023
75534034351
oct1572710607
9537404376
10233542023
1110a912640
1266267773
13394cc560
14230340d1
1515782983
hexdeb9187

233542023 has 32 divisors (see below), whose sum is σ = 381749760. Its totient is φ = 124967040.

The previous prime is 233542019. The next prime is 233542031. The reversal of 233542023 is 320245332.

It is not a de Polignac number, because 233542023 - 22 = 233542019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233541984 and 233542002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233542063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1968 + ... + 21701.

It is an arithmetic number, because the mean of its divisors is an integer number (11929680).

Almost surely, 2233542023 is an apocalyptic number.

233542023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

233542023 is a deficient number, since it is larger than the sum of its proper divisors (148207737).

233542023 is a wasteful number, since it uses less digits than its factorization.

233542023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23719.

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 233542023 is about 15282.0817626395. The cubic root of 233542023 is about 615.8217345172.

Adding to 233542023 its reverse (320245332), we get a palindrome (553787355).

The spelling of 233542023 in words is "two hundred thirty-three million, five hundred forty-two thousand, twenty-three".

Divisors: 1 3 11 13 23 33 39 69 143 253 299 429 759 897 3289 9867 23669 71007 260359 307697 544387 781077 923091 1633161 3384667 5988257 7077031 10154001 17964771 21231093 77847341 233542023