Search a number
-
+
45233370 = 23357213263
BaseRepresentation
bin1010110010001…
…1010011011010
310011010002112000
42230203103122
543034431440
64253301430
71056322500
oct254432332
9104102460
1045233370
1123595556
1213194876
1394a9910
146016670
153e87730
hex2b234da

45233370 has 192 divisors, whose sum is σ = 151683840. Its totient is φ = 9507456.

The previous prime is 45233329. The next prime is 45233381. The reversal of 45233370 is 7333254.

45233370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 171859 + ... + 172121.

It is an arithmetic number, because the mean of its divisors is an integer number (790020).

Almost surely, 245233370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45233370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75841920).

45233370 is an abundant number, since it is smaller than the sum of its proper divisors (106450470).

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

45233370 is a wasteful number, since it uses less digits than its factorization.

45233370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 45233370 is about 6725.5758117800. The cubic root of 45233370 is about 356.3031388877.

The spelling of 45233370 in words is "forty-five million, two hundred thirty-three thousand, three hundred seventy".