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22830432 = 2531631459
BaseRepresentation
bin101011100010…
…1110101100000
31120221220110120
41113011311200
521321033212
62133200240
7365025012
oct127056540
946856416
1022830432
1111983929
127790080
134964841
1430641b2
15200e88c
hex15c5d60

22830432 has 48 divisors (see below), whose sum is σ = 60338880. Its totient is φ = 7558272.

The previous prime is 22830427. The next prime is 22830449. The reversal of 22830432 is 23403822.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 14919 + ... + 16377.

It is an arithmetic number, because the mean of its divisors is an integer number (1257060).

Almost surely, 222830432 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 22830432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30169440).

22830432 is an abundant number, since it is smaller than the sum of its proper divisors (37508448).

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

22830432 is a wasteful number, since it uses less digits than its factorization.

22830432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 22830432 is about 4778.1201324370. The cubic root of 22830432 is about 283.6860910362.

The spelling of 22830432 in words is "twenty-two million, eight hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1459 1956 2608 2918 3912 4377 5216 5836 7824 8754 11672 15648 17508 23344 35016 46688 70032 140064 237817 475634 713451 951268 1426902 1902536 2853804 3805072 5707608 7610144 11415216 22830432