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233074332 = 22327981953
BaseRepresentation
bin11011110010001…
…10111010011100
3121020120101212200
431321012322130
5434131334312
635043331500
75530046001
oct1571067234
9536511780
10233074332
1110a623217
1266080b90
133939770a
1422d518a8
15156de0dc
hexde46e9c

233074332 has 36 divisors (see below), whose sum is σ = 596625120. Its totient is φ = 76707072.

The previous prime is 233074321. The next prime is 233074379. The reversal of 233074332 is 233470332.

It is a happy number.

233074332 is a `hidden beast` number, since 23 + 307 + 4 + 332 = 666.

233074332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 233074296 and 233074305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38133 + ... + 43820.

It is an arithmetic number, because the mean of its divisors is an integer number (16572920).

Almost surely, 2233074332 is an apocalyptic number.

It is an amenable number.

233074332 is an abundant number, since it is smaller than the sum of its proper divisors (363550788).

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

233074332 is a wasteful number, since it uses less digits than its factorization.

233074332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82042 (or 82037 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 233074332 is about 15266.7721539296. The cubic root of 233074332 is about 615.4103784903.

The spelling of 233074332 in words is "two hundred thirty-three million, seventy-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 81953 163906 245859 327812 491718 737577 983436 1475154 2950308 6474287 12948574 19422861 25897148 38845722 58268583 77691444 116537166 233074332