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22413132 = 22337231289
BaseRepresentation
bin101010101111…
…1111101001100
31120011201001000
41111133331030
521214210012
62120220300
7361336260
oct125377514
946151030
1022413132
1111719355
12760a690
134849911
142d960a0
151e7addc
hex155ff4c

22413132 has 96 divisors (see below), whose sum is σ = 69350400. Its totient is φ = 6120576.

The previous prime is 22413113. The next prime is 22413133. The reversal of 22413132 is 23131422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22413133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16744 + ... + 18032.

It is an arithmetic number, because the mean of its divisors is an integer number (722400).

Almost surely, 222413132 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 22413132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34675200).

22413132 is an abundant number, since it is smaller than the sum of its proper divisors (46937268).

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

22413132 is a wasteful number, since it uses less digits than its factorization.

22413132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1324 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 22413132 is about 4734.2509439192. The cubic root of 22413132 is about 281.9470249064.

Adding to 22413132 its reverse (23131422), we get a palindrome (45544554).

The spelling of 22413132 in words is "twenty-two million, four hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1289 1449 1932 2484 2578 2898 3867 4347 5156 5796 7734 8694 9023 11601 15468 17388 18046 23202 27069 29647 34803 36092 46404 54138 59294 69606 81207 88941 108276 118588 139212 162414 177882 207529 243621 266823 324828 355764 415058 487242 533646 622587 800469 830116 974484 1067292 1245174 1600938 1867761 2490348 3201876 3735522 5603283 7471044 11206566 22413132