Search a number
-
+
112254222420 = 22325623634569
BaseRepresentation
bin110100010001011011…
…1111000000001010100
3101201202012010100012100
41220202313320001110
53314344040104140
6123322513322100
711052523101324
oct1504267700124
9351665110170
10112254222420
114367464484a
1219909866330
13a77c534822
14560c737284
152dbee75530
hex1a22df8054

112254222420 has 36 divisors (see below), whose sum is σ = 340504475220. Its totient is φ = 29934459264.

The previous prime is 112254222397. The next prime is 112254222551. The reversal of 112254222420 is 24222452211.

112254222420 is a `hidden beast` number, since 1 + 12 + 2 + 5 + 4 + 222 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43951445316 + 68302777104 = 209646^2 + 261348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1122542224202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 311817105 + ... + 311817464.

It is an arithmetic number, because the mean of its divisors is an integer number (9458457645).

Almost surely, 2112254222420 is an apocalyptic number.

112254222420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112254222420 is an abundant number, since it is smaller than the sum of its proper divisors (228250252800).

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

112254222420 is a wasteful number, since it uses less digits than its factorization.

112254222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623634584 (or 623634579 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 112254222420 its reverse (24222452211), we get a palindrome (136476674631).

The spelling of 112254222420 in words is "one hundred twelve billion, two hundred fifty-four million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 623634569 1247269138 1870903707 2494538276 3118172845 3741807414 5612711121 6236345690 7483614828 9354518535 11225422242 12472691380 18709037070 22450844484 28063555605 37418074140 56127111210 112254222420