Search a number
-
+
22286720 = 27597359
BaseRepresentation
bin101010100000…
…1000110000000
31112221021122002
41111001012000
521201133340
62113403132
7360301601
oct125010600
945837562
1022286720
1111642385
1275694a8
134804211
142d61da8
151e53715
hex1541180

22286720 has 64 divisors (see below), whose sum is σ = 53978400. Its totient is φ = 8798208.

The previous prime is 22286717. The next prime is 22286723. The reversal of 22286720 is 2768222.

It is an interprime number because it is at equal distance from previous prime (22286717) and next prime (22286723).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22286723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61901 + ... + 62259.

Almost surely, 222286720 is an apocalyptic number.

22286720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26989200).

22286720 is an abundant number, since it is smaller than the sum of its proper divisors (31691680).

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

22286720 is an equidigital number, since it uses as much as digits as its factorization.

22286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 22286720 is about 4720.8812736607. The cubic root of 22286720 is about 281.4159567052.

The spelling of 22286720 in words is "twenty-two million, two hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 359 388 485 640 718 776 970 1436 1552 1795 1940 2872 3104 3590 3880 5744 6208 7180 7760 11488 12416 14360 15520 22976 28720 31040 34823 45952 57440 62080 69646 114880 139292 174115 229760 278584 348230 557168 696460 1114336 1392920 2228672 2785840 4457344 5571680 11143360 22286720