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20222460 = 223651973
BaseRepresentation
bin100110100100…
…1000111111100
31102001102000000
41031021013330
520134104320
62001234300
7333613416
oct115110774
942042000
1020222460
1110462485
126932990
13426076b
1429859b6
151b96c90
hex13491fc

20222460 has 168 divisors, whose sum is σ = 67940880. Its totient is φ = 5038848.

The previous prime is 20222459. The next prime is 20222473. The reversal of 20222460 is 6422202.

It is a happy number.

20222460 is a `hidden beast` number, since 202 + 2 + 2 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 55 ways as a sum of consecutive naturals, for example, 276984 + ... + 277056.

It is an arithmetic number, because the mean of its divisors is an integer number (404410).

Almost surely, 220222460 is an apocalyptic number.

20222460 is a gapful number since it is divisible by the number (20) 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 20222460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33970440).

20222460 is an abundant number, since it is smaller than the sum of its proper divisors (47718420).

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

20222460 is a wasteful number, since it uses less digits than its factorization.

20222460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20222460 is about 4496.9389588919. The cubic root of 20222460 is about 272.4444686664. Note that the first 4 decimals are identical.

Adding to 20222460 its reverse (6422202), we get a palindrome (26644662).

The spelling of 20222460 in words is "twenty million, two hundred twenty-two thousand, four hundred sixty".