Search a number
-
+
22401400 = 2352716001
BaseRepresentation
bin101010101110…
…1000101111000
31120011002221111
41111131011320
521213321100
62120050104
7361260130
oct125350570
946132844
1022401400
111171055a
127603934
134844488
142d91ac0
151e776ba
hex155d178

22401400 has 48 divisors (see below), whose sum is σ = 59527440. Its totient is φ = 7680000.

The previous prime is 22401397. The next prime is 22401433. The reversal of 22401400 is 410422.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6601 + ... + 9400.

It is an arithmetic number, because the mean of its divisors is an integer number (1240155).

Almost surely, 222401400 is an apocalyptic number.

22401400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22401400 is an abundant number, since it is smaller than the sum of its proper divisors (37126040).

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

22401400 is a wasteful number, since it uses less digits than its factorization.

22401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16024 (or 16015 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 22401400 is about 4733.0117261634. The cubic root of 22401400 is about 281.8978219092.

Adding to 22401400 its reverse (410422), we get a palindrome (22811822).

It can be divided in two parts, 22401 and 400, that added together give a square (22801 = 1512).

The spelling of 22401400 in words is "twenty-two million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 16001 32002 64004 80005 112007 128008 160010 224014 320020 400025 448028 560035 640040 800050 896056 1120070 1600100 2240140 2800175 3200200 4480280 5600350 11200700 22401400