Search a number
-
+
22415300400 = 2435218679417
BaseRepresentation
bin10100111000000011…
…100101011100110000
32010212011100020112010
4110320003211130300
5331401304103100
614144125402520
71422320624013
oct247003453460
963764306463
1022415300400
119562941a59
124416a09440
132162bbc87c
141128da937a
158b2d15750
hex5380e5730

22415300400 has 60 divisors (see below), whose sum is σ = 71803682792. Its totient is φ = 5977413120.

The previous prime is 22415300399. The next prime is 22415300437. The reversal of 22415300400 is 400351422.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9338509 + ... + 9340908.

Almost surely, 222415300400 is an apocalyptic number.

22415300400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22415300400 is an abundant number, since it is smaller than the sum of its proper divisors (49388382392).

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

22415300400 is a wasteful number, since it uses less digits than its factorization.

22415300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18679438 (or 18679427 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 22415300400 its reverse (400351422), we get a palindrome (22815651822).

The spelling of 22415300400 in words is "twenty-two billion, four hundred fifteen million, three hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 18679417 37358834 56038251 74717668 93397085 112076502 149435336 186794170 224153004 280191255 298870672 373588340 448306008 466985425 560382510 747176680 896612016 933970850 1120765020 1400956275 1494353360 1867941700 2241530040 2801912550 3735883400 4483060080 5603825100 7471766800 11207650200 22415300400