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22790144 = 21413107
BaseRepresentation
bin101011011110…
…0000000000000
31120212212012102
41112330000000
521313241034
62132245532
7364466366
oct126740000
946785172
1022790144
1111956633
1277708a8
13494c3c0
143053636
15200297e
hex15bc000

22790144 has 60 divisors (see below), whose sum is σ = 49543704. Its totient is φ = 10420224.

The previous prime is 22790111. The next prime is 22790147. The reversal of 22790144 is 44109722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22790147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212939 + ... + 213045.

Almost surely, 222790144 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 22790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24771852).

22790144 is an abundant number, since it is smaller than the sum of its proper divisors (26753560).

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

22790144 is an equidigital number, since it uses as much as digits as its factorization.

22790144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 22790144 is about 4773.9023869367. The cubic root of 22790144 is about 283.5191227444.

Adding to 22790144 its reverse (44109722), we get a palindrome (66899866).

The spelling of 22790144 in words is "twenty-two million, seven hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 128 208 214 256 416 428 512 832 856 1024 1391 1664 1712 2048 2782 3328 3424 4096 5564 6656 6848 8192 11128 13312 13696 16384 22256 26624 27392 44512 53248 54784 89024 106496 109568 178048 212992 219136 356096 438272 712192 876544 1424384 1753088 2848768 5697536 11395072 22790144