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22496490 = 23251811381
BaseRepresentation
bin101010111010…
…0010011101010
31120022221101100
41111310103222
521224341430
62122102230
7362134302
oct125642352
946287340
1022496490
1111775a45
12764a976
134878843
142db8602
151e95960
hex15744ea

22496490 has 48 divisors (see below), whose sum is σ = 58856616. Its totient is φ = 5961600.

The previous prime is 22496479. The next prime is 22496497. The reversal of 22496490 is 9469422.

22496490 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 649 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10323369 + 12173121 = 3213^2 + 3489^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22496497) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15600 + ... + 16980.

Almost surely, 222496490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22496490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29428308).

22496490 is an abundant number, since it is smaller than the sum of its proper divisors (36360126).

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

22496490 is a wasteful number, since it uses less digits than its factorization.

22496490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 22496490 is about 4743.0464893357. The cubic root of 22496490 is about 282.2961277388.

The spelling of 22496490 in words is "twenty-two million, four hundred ninety-six thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1381 1629 1810 2715 2762 3258 4143 5430 6905 8145 8286 12429 13810 16290 20715 24858 41430 62145 124290 249961 499922 749883 1249805 1499766 2249649 2499610 3749415 4499298 7498830 11248245 22496490