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45322332 = 223111312621
BaseRepresentation
bin1010110011100…
…1000001011100
310011021121112220
42230321001130
543100303312
64255225340
71060143036
oct254710134
9104247486
1045322332
1123646380
1213218250
13950b263
14603ac56
153ea3c8c
hex2b3905c

45322332 has 48 divisors (see below), whose sum is σ = 116290944. Its totient is φ = 13624000.

The previous prime is 45322283. The next prime is 45322337. The reversal of 45322332 is 23322354.

It is a super-2 number, since 2×453223322 = 4108227555836448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45322337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15982 + ... + 18602.

It is an arithmetic number, because the mean of its divisors is an integer number (2422728).

Almost surely, 245322332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45322332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58145472).

45322332 is an abundant number, since it is smaller than the sum of its proper divisors (70968612).

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

45322332 is a wasteful number, since it uses less digits than its factorization.

45322332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2768 counting only the distinct ones).

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

The square root of 45322332 is about 6732.1862719328. The cubic root of 45322332 is about 356.5365704035.

Adding to 45322332 its reverse (23322354), we get a palindrome (68644686).

It can be divided in two parts, 45322 and 332, that added together give a palindrome (45654).

The spelling of 45322332 in words is "forty-five million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2621 2882 4323 5242 5764 7863 8646 10484 15726 17292 28831 31452 57662 86493 115324 172986 343351 345972 686702 1030053 1373404 2060106 3776861 4120212 7553722 11330583 15107444 22661166 45322332