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194225040 = 2435597103
BaseRepresentation
bin10111001001110…
…10001110010000
3111112110122200000
423210322032100
5344210200130
631134530000
74545612522
oct1344721620
9445418600
10194225040
119a6a9169
1255066900
1331314879
141bb1ba12
15120b8260
hexb93a390

194225040 has 240 divisors, whose sum is σ = 690039168. Its totient is φ = 50761728.

The previous prime is 194225039. The next prime is 194225047. The reversal of 194225040 is 40522491.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 194224995 and 194225013.

It is not an unprimeable number, because it can be changed into a prime (194225047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1885629 + ... + 1885731.

Almost surely, 2194225040 is an apocalyptic number.

194225040 is a gapful number since it is divisible by the number (10) 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 194225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345019584).

194225040 is an abundant number, since it is smaller than the sum of its proper divisors (495814128).

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

194225040 is a wasteful number, since it uses less digits than its factorization.

194225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 194225040 is about 13936.4644009878. The cubic root of 194225040 is about 579.1197905116.

The spelling of 194225040 in words is "one hundred ninety-four million, two hundred twenty-five thousand, forty".