Search a number
-
+
225150042420 = 22335416944523
BaseRepresentation
bin1101000110101111111…
…1010000000100110100
3210112011002112012211000
43101223333100010310
512142101402324140
6251233230443300
722160266532562
oct3215377200464
9715132465730
10225150042420
1187538369326
1237776363530
131830196a994
14ac7c364a32
155ccb3d3a30
hex346bfd0134

225150042420 has 48 divisors (see below), whose sum is σ = 700466800320. Its totient is φ = 60040011168.

The previous prime is 225150042419. The next prime is 225150042421. The reversal of 225150042420 is 24240051522.

225150042420 is a `hidden beast` number, since 225 + 15 + 0 + 0 + 4 + 2 + 420 = 666.

225150042420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225150042419) and next prime (225150042421).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225150042421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208471722 + ... + 208472801.

It is an arithmetic number, because the mean of its divisors is an integer number (14593058340).

Almost surely, 2225150042420 is an apocalyptic number.

225150042420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225150042420 is an abundant number, since it is smaller than the sum of its proper divisors (475316757900).

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

225150042420 is a wasteful number, since it uses less digits than its factorization.

225150042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416944541 (or 416944533 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 225150042420 its reverse (24240051522), we get a palindrome (249390093942).

The spelling of 225150042420 in words is "two hundred twenty-five billion, one hundred fifty million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 416944523 833889046 1250833569 1667778092 2084722615 2501667138 3752500707 4169445230 5003334276 6254167845 7505001414 8338890460 11257502121 12508335690 15010002828 18762503535 22515004242 25016671380 37525007070 45030008484 56287510605 75050014140 112575021210 225150042420