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22950000 = 24335517
BaseRepresentation
bin101011110001…
…1000001110000
31121011222111000
41113203001300
521333400000
62135522000
7366033423
oct127430160
947158430
1022950000
1111a55747
127829300
1349a70a8
1430959ba
152035000
hex15e3070

22950000 has 240 divisors, whose sum is σ = 87181920. Its totient is φ = 5760000.

The previous prime is 22949999. The next prime is 22950001. The reversal of 22950000 is 5922.

It is an interprime number because it is at equal distance from previous prime (22949999) and next prime (22950001).

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

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22950001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1349992 + ... + 1350008.

It is an arithmetic number, because the mean of its divisors is an integer number (363258).

Almost surely, 222950000 is an apocalyptic number.

22950000 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 22950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43590960).

22950000 is an abundant number, since it is smaller than the sum of its proper divisors (64231920).

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

22950000 is an equidigital number, since it uses as much as digits as its factorization.

22950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 22950000 is about 4790.6158268014. The cubic root of 22950000 is about 284.1804711558.

Adding to 22950000 its reverse (5922), we get a palindrome (22955922).

The spelling of 22950000 in words is "twenty-two million, nine hundred fifty thousand".