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233414032 = 2447793929
BaseRepresentation
bin11011110100110…
…01110110010000
3121021012122212011
431322121312100
5434223222112
635054512304
75532662245
oct1572316620
9537178764
10233414032
1110a835465
1266205694
1339486217
1422ddd5cc
1515759aa7
hexde99d90

233414032 has 40 divisors (see below), whose sum is σ = 467827200. Its totient is φ = 112749312.

The previous prime is 233413987. The next prime is 233414047. The reversal of 233414032 is 230414332.

It is a happy number.

It is a super-2 number, since 2×2334140322 = 108964220668994048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233413994 and 233414012.

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, 57444 + ... + 61372.

It is an arithmetic number, because the mean of its divisors is an integer number (11695680).

Almost surely, 2233414032 is an apocalyptic number.

It is an amenable number.

233414032 is an abundant number, since it is smaller than the sum of its proper divisors (234413168).

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

233414032 is a wasteful number, since it uses less digits than its factorization.

233414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 233414032 is about 15277.8935720864. The cubic root of 233414032 is about 615.7092150916.

Adding to 233414032 its reverse (230414332), we get a palindrome (463828364).

The spelling of 233414032 in words is "two hundred thirty-three million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 16 47 79 94 158 188 316 376 632 752 1264 3713 3929 7426 7858 14852 15716 29704 31432 59408 62864 184663 310391 369326 620782 738652 1241564 1477304 2483128 2954608 4966256 14588377 29176754 58353508 116707016 233414032