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22989312 = 29331663
BaseRepresentation
bin101011110110…
…0101000000000
31121020222102000
41113230220000
521341124222
62140424000
7366256143
oct127545000
947228360
1022989312
1111a82235
127848000
1349bbc58
1430a605a
1520419ac
hex15eca00

22989312 has 80 divisors (see below), whose sum is σ = 68090880. Its totient is φ = 7658496.

The previous prime is 22989311. The next prime is 22989313. The reversal of 22989312 is 21398922.

It is an interprime number because it is at equal distance from previous prime (22989311) and next prime (22989313).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (22989311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12993 + ... + 14655.

It is an arithmetic number, because the mean of its divisors is an integer number (851136).

Almost surely, 222989312 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 22989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34045440).

22989312 is an abundant number, since it is smaller than the sum of its proper divisors (45101568).

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

22989312 is an equidigital number, since it uses as much as digits as its factorization.

22989312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1668 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 22989312 is about 4794.7170928012. The cubic root of 22989312 is about 284.3426400726.

The spelling of 22989312 in words is "twenty-two million, nine hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1663 1728 2304 3326 3456 4608 4989 6652 6912 9978 13304 13824 14967 19956 26608 29934 39912 44901 53216 59868 79824 89802 106432 119736 159648 179604 212864 239472 319296 359208 425728 478944 638592 718416 851456 957888 1277184 1436832 1915776 2554368 2873664 3831552 5747328 7663104 11494656 22989312