Search a number
-
+
22157312 = 21131349
BaseRepresentation
bin101010010000…
…1100000000000
31112200201010012
41110201200000
521133013222
62110524052
7356222402
oct124414000
945621105
1022157312
1111564131
127506628
13478a348
142d2ab72
151e2a1e2
hex1521800

22157312 has 48 divisors (see below), whose sum is σ = 45864000. Its totient is φ = 10690560.

The previous prime is 22157297. The next prime is 22157323. The reversal of 22157312 is 21375122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63314 + ... + 63662.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 222157312 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 22157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932000).

22157312 is an abundant number, since it is smaller than the sum of its proper divisors (23706688).

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

22157312 is an equidigital number, since it uses as much as digits as its factorization.

22157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 22157312 is about 4707.1554042755. The cubic root of 22157312 is about 280.8702178003.

The spelling of 22157312 in words is "twenty-two million, one hundred fifty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 349 496 512 698 992 1024 1396 1984 2048 2792 3968 5584 7936 10819 11168 15872 21638 22336 31744 43276 44672 63488 86552 89344 173104 178688 346208 357376 692416 714752 1384832 2769664 5539328 11078656 22157312